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CBSE - Class 9 Mathematics Surface Area and Volumes Worksheet

Curved surface area of cone is 308 sq. cm and its slant height is 14 cm. Find the radius of its base.

a. 4 cm b. 5 cm c. 6 cm d. 7 cm

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 of cone.

a. 3 cm b. 2 cm c. 6 cm d. 1 cm

Volume of a right circular cone is 78848 cm³. Its diameter is 56 cm. Find its slant height?

a. 100cm b. 50cm c. 25cm d. 200cm

The height of a cone is 16 cm and its base radius is 12 cm. Find the curved surface area.

a. 563.6 sq. cm b. 753.6 sq. cm c. 253.6 sq. cm d. 153.6 sq. cm

Find the amount of water displaced by a solid spherical ball of diameter (ii) $0.21$ m

Find the surface area of a sphere of diameter: (ii) $21$ cm

A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is INR12 per m2 , what will be the cost of painting all these cones? (Use π = 3.14 and take √1.04 = 1.02)

384.3

390.5

A solid cylinder is melted and casted into a cone of same radius. Find the ratio of their heights?

a. 3:2 b. 1:3 c. 1:2 d. 1:6

State True/False: If the radius of a sphere is halved , then its volume reduces to one eight of its previous value.

a. true b. false

10.

Diagonal of a cube measures 9√3 cm. Find its total surface area?

11.

Volume of a right circular cone is 4928 cm³ and diameter of base is 14 cm, find its slant height?

a. 50 cm b. 10cm c. 12.5cm d. 25 cm

12.

Find the surface area of a sphere of radius 7 cm.

a. 220 sq. cm b. 820 sq. cm c. 616 sq. cm d. 200 sq. cm

13.

A shot-putt is a metallic sphere of radius 4.9 cm. If the density of the metal is 7.8 g per cm³ , find the mass of the shot-putt?

14.

Choose the correct option: If a circular metal sheet is 0.65 cm thick and 50 cm in diameter is melted and recast into a cylindrical bar with 8 cm diameter then the length of the bar is _______.

a. 35.41 cm b. 24.41 cm c. 40.41 cm d. 45.41 cm

15.

The sum of length, breadth and height of a cuboid is 21 cm and the length of its diagonal is 12 cm. Find the surface area of the cuboid?

a. 182 sq cm b. 345 sq cm c. 297 sq cm d. None of these

16.

Fill in the blanks: The line joining the vertex of a cone to the boundary line of the base is called ________.

a. Height b. Length c. Slant Height d. Perimeter

17.

Fill in the blanks: The edge of a cube is increased by 10%. Its volume will be increased by ________.

a. 10 % b. 20 % c. 30 % d. 33.1%

18.

The volume of a right circular cone is $9856$ cm$^3$. If the diameter of the base is $28$ cm, find (iii) curved surface area of the cone

19.

Find the radius of a sphere whose surface area is $154$ cm$^2$.

20.

A joker’s cap is in the form of a right circular cone of base radius $7$ cm and height $24$ cm. Find the area of the sheet required to make $10$ such caps.

Worksheet Answers

Option D

Option A

Option B

Option A

Option B

Option A

10.

486 sq cm

11.

Option D

12.

Option C

13.

3.85 kg

14.

Option B

15.

Option C

16.

Option C

17.

Option D

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