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CBSE - Class 9 Mathematics Surface Area and Volumes Worksheet

Fill in the blanks: A circular disc of lead 3 cm in thickness and 6 cm in radius in wholly converted into shots of diameter 1cm. The number of shots is ________.

a. 548 b. 648 c. 742 d. 588

A right circular cylinder just encloses a sphere of radius r .The surface area of the sphere will be _______ the curved surface area of the cylinder.

a. greater than b. smaller than c. equal to d. None of these

A box is made entirely of glass panes (including base) held together with tape. It is 3 cm long, 2.5 cm wide and 2.5 cm high. How much of tape is needed for all the 12 edges?

a. 22 cm b. 40 cm c. 30 cm d. 32 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

The internal and external diameters of a hollow hemispherical vessel are 20 cm and 28 cm respectively. Find the cost of painting the vessel all over at 15 paisa per cm²?

a. Rs 324.24 b. Rs 524.24 c. Rs 424.24 d. Rs 304.24

Find the volume of the right circular cone with (i) radius $6$ cm, height $7$ 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 ₹ $12$ per m$^2$, what will be the cost of painting all these cones? (Use $\pi = 3.14$ and take $\sqrt{1.04} = 1.02$)

The curved surface area of a right circular cylinder of height 14 cm is 88 cm². Find the radius of the base of the cylinder?

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

10.

The diameter of the moon is approximately one fourth of the diameter of the earth. Find the ratio of their surface areas.

11.

If the volume of a right circular cone of height $9$ cm is $48 \pi$ cm$^3$, find the diameter of its base.

12.

Dimension of a room is 10m X 8m X 3.3m. How many men can be accompanied in this room if each man requires 3 cube m of space?

a. 77 b. 88 c. 33 d. 22

13.

A conical tent is $10$ m high and the radius of its base is $24$ m. Find (i) slant height of the tent.

14.

Find the diameter of a sphere whose surface area is 154 sq. cm.

a. 14 cm b. 3.5 cm c. 7 cm d. 28 cm

15.

A conical pit of top diameter $3.5$ m is $12$ m deep. What is its capacity in kilolitres?

16.

Voulme of a cube is 343 cm³. Find its total surface area?

a. 294 sq cm b. 196 sq cm c. 512 sq cm d. 49 sq cm

17.

A dome of a building is in the form of a hemisphere. From inside, it was white-washed at the cost of ₹ $4989.60$. If the cost of white-washing is ₹ $20$ per square metre, find the (i) inside surface area of the dome,

18.

A solid cylinder has a total surface area 462 sq. cm. Its curbed surface area is one-third of the total surface area. Find the volume of the cylinder?

19.

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

20.

A container has a radius of 3.5 cm and its height is 40 cm. What capacity of water it can store?

a. 1.54 liters b. 3.08 liters c. 4.34 liters d. None of these

Worksheet Answers

Option B

Option C

Option D

Option A

1 cm

486 sq cm

12.

Option B

14.

Option C

16.

Option A

18.

539 cm³

19.

Option A

20.

Option A

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