# CBSE Class 10 Mathematics Surface Areas And Volume VBQs

CBSE Class 10 Mathematics Surface Areas And Volume VBQs read and download in pdf. Value Based Questions come in exams for Mathematics in Class 10 and are easy to learn and helpful in scoring good marks. You can refer to more chapter wise VBQs for Class 10 Mathematics and also get latest topic wise very useful study material as per latest NCERT book for Class 10 Mathematics and all other subjects for free on Studiestoday designed as per latest Class 10 CBSE, NCERT and KVS syllabus and examination pattern

## VBQ for Class 10 Mathematics Chapter 13 Surface Areas and Volumes

Class 10 Mathematics students should refer to the following value based questions with answers for Chapter 13 Surface Areas and Volumes in Class 10. These VBQ questions with answers for Class 10 Mathematics will come in exams and help you to score good marks

### Chapter 13 Surface Areas and Volumes VBQ Questions Class 10 Mathematics with Answers

CHAPTER –SURFACE AREA & VOLUME

Question. In a city the corporation supplies water to 35 houses in a street through a cylindrical tank of diameter 42cm and length 105cm.On a particular day due to the leakage in the tank water was sufficient only to 25houses.The people in the street told the water man to distribute the available water to all the 35 houses.

CONTEXTUAL QUESTION

(i) How much water each house gets on any day?

(ii) How much water each house gets on the day there was leakage in the tank?

VALUE BASED QUESTION

(iii) What values (any two) the people in the street possess?

KEY POINTS.

* Sharing

* Care for others

* Selflessness

* Unity

* Self discipline

* Concern for others

* Responsible citizen

* Right for equality.

Question. Asha and Usha are two sisters of Rohan. On a Rakhee day Rohan gave 16 Laddus (sweet, Sphere in shape)of diameter 6cm to Asha and 2 laddus of radius 6cm to Usha.

CONTEXTUAL QUESTION

(i) To which sister Rohan gave more sweets?

VALUE BASED QUESTION

(ii) What value Rohan possess in distributing the sweets to his sisters?

KEY POINTS.

*Impartial

*Responsible

*Concern

*Sensitive

Question. A Mathematics teacher told the students to make a model solids using the card board. It can be either a hemisphere surmounted by a cone or a hemisphere surmounted by a cylinder(closed on the top). Both the solids have the same total height 17cm and radius 5cm. Cost of card board is 20paise per sq.cm.

CONTEXTUAL QUESTION

(i) Which one a boy will select to do? And why?.

VALUE BASED QUESTION

(ii)By selecting the solid what value the boy possess?.

KEY POINTS.

*Saving money

*Presence of mind

* Economical

*Decision making.

Question. In a village, due to heavy rain many people came out of their houses and were made to stay in a school building. Local volunteers prepared 1200 food packets each of dimensions 10 cm x 6cm x 3cm is packed in to 600 boxes to distribute the people.

CONTEXTUAL QUESTIOIN

(I) What is the capacity of each box?.

VALUE BASED QUESTION

(ii) What values ( any two) are imbibed by the volunteers in this initiative?.

KEY POINTS.

*Helping the needful

*Commitment

*Team work

*Social service

*Empathy

*Responsibility

*Initiative

*Charity

*Compassion

Question. There are 3 types of bowl namely A, B, C are available in the shop for sale. The cost of each type is the same. Bowl A is hemispherical with radius 6.3cm,bowl B is a frustum of a cone with radii 3cm and 5cm with the height 6cm and bowl C is cylindrical in shape with radius 5cm and height 7cm.Shop keeper gives the cylindrical bowl to the customer.

CONTEXTUAL QUESTION

(I)Find the volume of the bowls A , B, and C.

VALUE BASED QUESTION

(ii)What values (any two) the shop keeper possess?

KEY POINTS.

*Honest

*Humble

*Just

*Generous

*Genuine

*Responsible behaviour

*Sincerity.

Question. Ranjith gave a playing top as a gift to his friend Sanju on his birth day. The top is shaped like a cone surmounted by a hemisphere. Total height of the top is 7cm and the radius is 3cm.Ranjith wants to colour the top.

CONTEXTUAL QUESTION

(i) Find the area that Ranjith has to colour. (use π= 22/7).

VALUE BASED QUESTION

(ii)What values (any 2) are reflected by Ranjith?

*Love and affection

*Kind

*Thoughtful

*Concern

*Sharing and caring

CASE STUDY BASED

Case Study 1. Arun a 10th standard student makes a project on corona virus in science for an exhibition in his school. In this project, he picks a sphere which has volume 38808 cm3 and 11 cylindrical shapes, each of volume 1540 cm3 with length 10 cm. Based on the above information, answer the following questions.

(ii) Diameter of the sphere is

(iii) Total volume of the shape formed is

(iv) Curved surface area of the one cylindrical shape is

(v) Total area covered by cylindrical shapes on the surface of sphere is

CASE STUDY 2. A carpenter used to make and sell different kinds of wooden pen stands like rectangular, cuboidal, cylindrical, conical. Aanav went to his shop and asked him to make a pen stand as explained below. Pen stand must be of the cuboidal shape with three conical depressions, which can hold 3 pens. The dimensions of the cuboidal part must be 20 cm x 15 cm x 5 cm and the radius and depth of each conical depression must be 0.6 cm and 2.1cm respectively.

Based on the above information, answer the following questions.

(i) The volume of the cuboidal part is ---------------

(ii) Total volume of conical depressions is ----------------

(iii) Volume of the wood used in the entire stand is ------------

(iv) If the cost of wood used is Rs 0.05 per cm3, then the total cost of making the pen stand is ---

ASSERTION REASONING

Question. Assertion: a cylinder and right circular cone are having the same base and same height the volume of cylinder is three times the volume of cone
Reason: if the radius of cylinder is doubled and height is halved the volume will be doubled
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is correct but reason is false
d) both Assertions and reason are false

Question. Assertion: the lateral surface area of a right cone is 62.82 if the radius is 4 cm and the slant height is 5 cm.
Reason: lateral surface area of cone = πrl
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is correct but reason is false
d) both Assertions and reason are false

Question. Assertion: the perpendicular distance between two bases is the height of cylinder
Reason: the line segment joining the centre of two bases is the axis of cylinder
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is correct but reason is false
d) both Assertions and reason are false

Question. Assertion: volume of cuboid is defined as the amount of space occupied by the walls of cuboid in three dimensional space
Reason: volume of cuboid is the product of length ,width ,height
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is correct but reason is false
d) both Assertions and reason are false

Question. Assertion: a sphere is a symmetrical object
Reason: a sphere had an only a curved surface no flat surface no edge and no vertices
a) both Assertion and reason are correct and reason is correct explanation for Assertion
b) both Assertion and reason are correct but reason is not correct explanation for Assertion
c) Assertion is correct but reason is false
d) both Assertions and reason are false

### Very Short Answer type Questions

Question. The height of a cone is 42 cm. A small cone is cut off at the top by a plane parallel to the base. If its volume is 1/64 of the volume of the given cone, find the height at which the section is made.
10.5 cm

Question. A juice seller was serving his customers using glasses as shown in Fig. The inner diameter of the cylindrical glass was 5 cm, but the bottom of the glass had a hemispherical raised portion which reduced the capacity of the glass. If the height of a glass was 10 cm, find the apparent capacity of the glass and its actual capacity. (Use π = 3.14.)

Question. A cistern, internally measuring 150 cm × 120 cm × 110 cm, has 129600 cm3 of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being 22.5 cm × 7.5 cm × 6.5 cm?.

Question. A solid toy is in the form of a hemisphere surmounted by a right circular cone. The height of the cone is 2 cm and the diameter of the base is 4 cm. Determine the volume of the toy. If a right circular cylinder circumscribes the toy, find the difference of the volumes of the cylinder and the toy. (Take π = 3.14)
Answer : 25.12 cm3. 25.12 cm3

Question. A sector of circle of radius 15 cm has the angle 120°. It is rolled up so that two boundary radii are joined together to form a cone. Find the volume of cone.
250√23𝜋 cm3

Question. A right triangle, whose sides are 3 cm and 4 cm (other than hypotenuse) is made to revolve about its hypotenuse. Find the volume and surface area of the double cone so formed. (Choose value of π as found appropriate.)
Answer : 30.14 cm3 ; 52.75 cm2)

Question. A tent is in the shape of a right circular cylinder surmounted by a cone. The total height and the diameter of the base are 13.5 m and 28 m. If the height of the cylindrical portion is 3 m, find the total surface area of the tent.

Question. A copper wire, 3 mm in diameter, is wound about a cylinder whose length is 12 cm, and diameter 10 cm, so as to cover the curved surface of the cylinder. Find the length and mass of the wire, assuming the density of copper to be 8.88 g per cm3 .
Answer : 1256 cm; 788g app

Question. 2 cubes each of volume 64 cm3 are joined end to end. Find the surface area of the resulting cuboid.

Question. Rachel, an engineering student, was asked to make a model shaped like a cylinder with two cones attached at its two ends by using a thin aluminium sheet. The diameter of the model is 3 cm and its length is 12 cm. If each cone has a height of 2 cm, find the volume of air contained in the model that Rachel made. (Assume the outer and inner dimensions of the model to be nearly the same.)
66 cm3.

Question. A toy is in the form of a cone of radius 3.5 cm mounted on a hemisphere of same radius. The total height of the toy is 15.5 cm. Find the total surface area of the toy.
214.5 cm2

Question. A solid consisting of a right circular cone of height 120 cm and radius 60 cm standing on a hemisphere of radius 60 cm is placed upright in a right circular cylinder full of water such that it touches the bottom. Find the volume of water left in the cylinder, if the radius of the cylinder is 60 cm and its height is 180 cm.

Question. A hemispherical depression is cut out from one face of a cubical wooden block such that the diameter l of the hemisphere is equal to the edge of the cube. Determine the surface area of the remaining solid.
(1/4)l2 (π +24)

Question. A vessel is in the form of an inverted cone. Its height is 8 cm and the radius of its top, which is open, is 5 cm. It is filled with water up to the brim. When lead shots, each of which is a sphere of radius 0.5 cm are dropped into the vessel, one-fourth of the water flows out. Find the number of lead shots dropped in the vessel.
100

Question. From a solid cylinder whose height is 2.4 cm and diameter 1.4 cm, a conical cavity of the same height and same diameter is hollowed out. Find the total surface area of the remaining solid to the nearest cm2.
18 cm2

Question. A solid is in the shape of a cone standing on a hemisphere with both their radii being equal to 1 cm and the height of the cone is equal to its radius. Find the volume of the solid in terms of π.

Question. A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. The diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm. Find the inner surface area of the vessel.

Question. A solid iron pole consists of a cylinder of height 220 cm and base diameter 24 cm, which is surmounted by another cylinder of height 60 cm and radius 8 cm. Find the mass of thepole, given that 1 cm3 of iron has approximately 8g mass. (Use π = 3.14)
892.26 kg

Question. A tent is in the shape of a cylinder surmounted by a conical top. If the height and diameter of the cylindrical part are 2.1 m and 4 m respectively, and the slant height of the top is 2.8 m, find the area of the canvas used for making the tent. Also, find the cost of the canvas of the tent at the rate of ₹500 per m2.
44 m2, Rs 22000

Question. A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds itsvolume to be 345 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.
Not correct. Correct answer is 346.51 cm3.

Question. A cubical block of side 7 cm is surmounted by a hemisphere. What is the greatest diameter the hemisphere can have? Find the surface area of the solid.
Greatest diameter = 7 cm, surface area = 332.5 cm2

 CBSE Class 10 Mathematics Real Numbers VBQs
 CBSE Class 10 Mathematics Polynomials VBQs
 CBSE Class 10 Mathematics Pair of Linear Equations in Two Variables VBQs
 CBSE Class 10 Mathematics Quadratic Equations VBQs
 CBSE Class 10 Mathematics Arithmetic Progressions VBQs
 CBSE Class 10 Mathematics Triangles VBQs
 CBSE Class 10 Mathematics Coordinate Geometry VBQs CBSE Class 10 Mathematics Coordinate Geometry VBQs Set A
 CBSE Class 10 Mathematics Heights And Distances VBQs CBSE Class 10 Mathematics VBQs Applications Of Trigonometry CBSE Class 10 Mathematics VBQs Heights And Distances
 CBSE Class 10 Mathematics Constructions VBQs
 CBSE Class 10 Mathematics Area Related To Circles VBQs CBSE Class 10 Mathematics Areas Related to Circles VBQs
 CBSE Class 10 Mathematics Surface Areas And Volume VBQs
 CBSE Class 10 Mathematics Statistics VBQs
 CBSE Class 10 Mathematics Introduction to Trigonometry VBQs

## More Study Material

### CBSE Class 10 Mathematics Chapter 13 Surface Areas and Volumes VBQs

We hope students liked the above VBQs for Chapter 13 Surface Areas and Volumes designed as per the latest syllabus for Class 10 Mathematics released by CBSE. Students of Class 10 should download the Value Based Questions and Answers in Pdf format and practice the questions and solutions given in above Class 10 Mathematics VBQs Questions on daily basis. All latest VBQs with answers have been developed for Mathematics by referring to the most important and regularly asked topics which the students should learn and practice to get better score in school tests and examinations. Studiestoday is the best portal for Class 10 students to get all latest study material free of cost.

### VBQs for Mathematics CBSE Class 10 Chapter 13 Surface Areas and Volumes

Expert teachers of studiestoday have referred to NCERT book for Class 10 Mathematics to develop the Mathematics Class 10 VBQs. If you download VBQs with answers for the above chapter daily, you will get higher and better marks in Class 10 test and exams in the current year as you will be able to have stronger understanding of all concepts. Daily Value Based Questions practice of Mathematics and its study material will help students to have stronger understanding of all concepts and also make them expert on all critical topics. You can easily download and save all VBQs for Class 10 Mathematics also from www.studiestoday.com without paying anything in Pdf format. After solving the questions given in the VBQs which have been developed as per latest course books also refer to the NCERT solutions for Class 10 Mathematics designed by our teachers

#### Chapter 13 Surface Areas and Volumes VBQs Mathematics CBSE Class 10

All VBQs given above for Class 10 Mathematics have been made as per the latest syllabus and books issued for the current academic year. The students of Class 10 can refer to the answers which have been also provided by our teachers for all VBQs of Mathematics so that you are able to solve the questions and then compare your answers with the solutions provided by us. We have also provided lot of MCQ questions for Class 10 Mathematics so that you can solve questions relating to all topics given in each chapter. All study material for Class 10 Mathematics students have been given on studiestoday.

#### Chapter 13 Surface Areas and Volumes CBSE Class 10 VBQs Mathematics

Regular VBQs practice helps to gain more practice in solving questions to obtain a more comprehensive understanding of Chapter 13 Surface Areas and Volumes concepts. VBQs play an important role in developing understanding of Chapter 13 Surface Areas and Volumes in CBSE Class 10. Students can download and save or print all the VBQs, printable assignments, practice sheets of the above chapter in Class 10 Mathematics in Pdf format from studiestoday. You can print or read them online on your computer or mobile or any other device. After solving these you should also refer to Class 10 Mathematics MCQ Test for the same chapter

#### CBSE VBQs Mathematics Class 10 Chapter 13 Surface Areas and Volumes

CBSE Class 10 Mathematics best textbooks have been used for writing the problems given in the above VBQs. If you have tests coming up then you should revise all concepts relating to Chapter 13 Surface Areas and Volumes and then take out print of the above VBQs and attempt all problems. We have also provided a lot of other VBQs for Class 10 Mathematics which you can use to further make yourself better in Mathematics

Where can I download latest CBSE VBQs for Class 10 Mathematics Chapter 13 Surface Areas and Volumes

You can download the CBSE VBQs for Class 10 Mathematics Chapter 13 Surface Areas and Volumes for latest session from StudiesToday.com

Can I download the VBQs of Class 10 Mathematics Chapter 13 Surface Areas and Volumes in Pdf

Yes, you can click on the links above and download topicwise VBQs Questions PDFs for Class 10 for Mathematics Chapter 13 Surface Areas and Volumes

Are the Chapter 13 Surface Areas and Volumes Class 10 Mathematics VBQs available for the latest session

Yes, the VBQs issued by CBSE for Chapter 13 Surface Areas and Volumes Class 10 Mathematics have been made available here for latest academic session

How can I download the Class 10 Mathematics Chapter 13 Surface Areas and Volumes VBQs

You can easily access the links above and download the Chapter 13 Surface Areas and Volumes Class 10 VBQs Mathematics for each chapter and topic

Is there any charge for the VBQs with answers for Class 10 Mathematics Chapter 13 Surface Areas and Volumes

There is no charge for the VBQs and their answers for Class 10 CBSE Mathematics Chapter 13 Surface Areas and Volumes you can download everything free

How can I improve my VBQs in Class 10 Mathematics Chapter 13 Surface Areas and Volumes

Regular revision of VBQs given on studiestoday for Class 10 subject Mathematics Chapter 13 Surface Areas and Volumes can help you to score better marks in exams

What are VBQs for Class 10 Mathematics Chapter 13 Surface Areas and Volumes

Value Based Questions (VBQs) for Class 10 Mathematics Chapter 13 Surface Areas and Volumes help to test the ability of students to apply learnings to various situations in life.