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## Assignment for Class 9 Mathematics Chapter 13 Surface Areas And Volumes

Class 9 Mathematics students should refer to the following printable assignment in Pdf for Chapter 13 Surface Areas And Volumes in standard 9. This test paper with questions and answers for Grade 9 Mathematics will be very useful for exams and help you to score good marks

### Chapter 13 Surface Areas And Volumes Class 9 Mathematics Assignment

**Question. The surface area of a sphere is same as the curved surface area of a right circular cylinder whose height and diameter are 12 cm each. Find the radius of the sphere.
Answer : **6 cm

**Question. Find the volume of the largest right circular cone that can be cut out of a cube whose edge is 9cm.**

**Answer : **190.93cm^{3}

**Question. A toy is in the form of a cone mounted on a hemi-sphere of same radius. The diameter of the base of the conical part is 7cm and the total height of the toy is 14.5cm. find the volume of the toy.**

**Answer : **231cm^{3}

**Question. The TSA of a solid cylinder is 231cm ^{2}. If its CSA is 2/3 of its TSA. Find its radius and height.**

**Answer :**3.5cm, 7cm

**Question. How many bags of grain can be stored in a cubic granary 12m x 6m x 5m , if each bag occupies a space of 0.48 m3 ?
Answer : **750

**Question. The volume of two cubes are in the ratio 8 : 64 , then find the ratio of their surface areas.**

**Answer : **4 : 9

**Question. A cone and a hemisphere have equal bases and equal volumes. What is the ratio of their heights?
Answer : **2 : 1

**Question. The radii of 2 cylinders are in the ratio 3:5 and their heights are in the ratio 2:3. What is the ratio of their curved surface areas.**

**Answer : **2:5

**Question. A cylinder and a cone are of same base radius and of same height. What is the ratio of their volumes?
Answer : **3 : 1

**Question. Find the Total Surface Area of a hemispherical solid having radius 7 cm.
Answer : **462

**Question. Two cubes each of volume 27cm ^{3} are joined end to end to form a solid. Find the surface area of the solid.
Answer : **90cm

^{2}

**Question. The length of a hall is 20m and width is 16m. the sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.**

**Answer : **8.8m

**Question. A cone and a cylinder of same radius 3.5cm have same CSA. If height of the cylinder is 14cm then find the slant height of the cone.**

**Answer : **28cm

**Surface Areas and Volumes**

Q 1 Find the area enclosed between two concentric circles of radii 4 cm and 3 cm.

Q 2 The diameter of a garden roller is 1.4 m and it is 2 m long. How much area will it cover in 5 revolutions?

Q 3 A cuboid has total surface area of 40 sq m and its lateral surface area is 26 sq m. Find the area of base.

Q 4 Three metal cubes whose edges measure 3 cm, 4 cm and 5 cm respectively are melted to form a single cube. Find the edge of the new cube. Also find the surface area of the new cube.

Q 5 An iron pipe 20 cm long has exterior diameter equal to 50 cm. If the thickness of the pipe is 1cm, find the whole surface area of the pipe.

Q 6 The lateral surface of a cylinder is equal to the curved surface of a cone. If the radius is the same, find the ratio of the height of the cylinder and slant height of the cone.

Q 7 A right circular cylinder just enclosed a sphere of radius r as shown in figure find the surface area of the sphere , curved surface area of the cylinder and also their ratio.

Q 8 A godown is in the form of a cuboid measuring 60 m x 40 m x 20 m. How many cuboidal boxes can be stored in it if the volume of one box 0.8 m^{3}?

**Click on link below to download CBSE Class 9 Mathematics Surface areas and Volumes Assignment Set B**

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