## Surface areas and Volumes Assignment for Class 9

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

### Class 9 Surface areas and Volumes Assignment Pdf

CBSE Class 9 Surface areas and Volumes Assignment 2. Students are advised to refer to the attached assignments and practise them regularly. This will help them to identify their weak areas and will help them to score better in examination. Parents should download and give the assignments to their children for practice.

**SECTION A: (1 MARK)**

1. A cylindrical piece of maximum volume has to be cut of an iron cube of edge 4 cm. Find the volume of the cylinder? (50.29cm^{3})

2. If each bag containing rice occupies 2.1 m^{3} of space, then find the number of full bags which can be emptied into a drum of radius 4.2 m and height 3.5 m (92)

3. If a square paper of side 25 cm is rolled to form a cylinder, then find its curved surface area? (625 cm^{2})

**SECTION B: (2 MARKS)**

4. If a hollow sphere of internal and external diameters 4 cm and 8 cm respectively melted into a cone of base diameter 8 cm, find the height of the cone? (14 cm)

5. Three cubes of metal whose edges are in the ratio 3:4:5 are melted down into a single cube whose diagonal is 12 √3 cm. Find the edges of the three cubes (6 cm 8 cm 10 cm)

6. Find the length of wire of diameter 2/5 cm that can be drawn from a solid sphere of radius 9 cm (243 m)

7. A solid sphere of radius 6 cm is melted into a hollow cylinder of uniform thickness. If the external radius of the base of the cylinder is 5 cm and its height is 32 cm, find the uniform thickness of the cylinder (1cm)

**SECTION C: (3 MARKS)**

8. Water flows out through a circular pipe whose internal diameter is 2 cm at the rate of 0.8 m/s into a cylindrical tank, the radius of whose base is 40 cm. By how much will the level rise in one and a half hour? ( 2.7 m)

9. A semicircular sheet of metal of radius 14 cm is bent into an open conical cup.

Find the depth, curved surface area and capacity of the cup? √3 = 1.73(12.11 cm 266.42 cm2 621.647cm^{3})

10. The surface area of a sphere of radius 5 cm is five times the area of the curved surface of a cone of radius 4 cm. Find the height and volume of the cone? (3 cm 352/7 cm^{3})

11. The radius of a sphere is increased by 10%. Find the percentage increase in volume (33.1 %)

**Please click the link below to download CBSE Class 9 Mathematics Surface areas and Volumes Assignment Set A**