Worksheet on Volume of Hemisphere

Solved Questions on Volume of Hemisphere

1. If the radius of a hemisphere is 21 cm. Find the volume of the hemisphere.

a) 13224 cm³
b) 19404 cm³
c) 23043 cm³
d) 29423 cm³

Answer: b) 19404 cm³

Explanation: We know that volume of hemisphere = 2/3π r³
= 2/3 x 22/7 x 21 x 21 x 21
= 2 x 22 x 21 x 21
= 19404 cm³

2. If the volume of the hemisphere is 2.093 m³. Find the radius of the hemisphere.

a) 1 m
b) 3 m
c) 5 m
d) 7 m

Answer: a) 1 m

Explanation: Volume of hemisphere = 2/3πr³
2.093 = 2/3πr³
2.093 = 2.093r³
r³ = 1
r = 1 m

So, radius of a hemisphere is 1 m.

3. A hemisphere has a circumference of 25 cm. What is the volume of the hemisphere?

a) 132.63 cm³
b) 134.09 cm³
c) 136.23 cm³
d) 139.12 cm³

Answer: b) 134.09 cm³

Explanation: We know that circumference = 2πr
25 = 2πr
r = 25/2π
r = 3.97
r = 4 cm (approximately)

V = (2/3) π (4³)
= (2/3) π (64)
= 134.09 cm³

4. A hemispherical bowl has an inner radius of 7 inches. How much water can it contain?

a) 734.095 in³
b) 718.013 in³
c) 735.095 in³
d) 750.08 in³

Answer: b) 718.013 in³ 

Explanation: Radius of hemispherical bowl = 7 in.
We know that, volume of hemisphere = 2/3πr³
= 2/3 × 3.14 × 7³
= 2/3 × 3.14 × 343
= 2154.04/3
= 718.013 in³

Thus, the hemispherical bowl can contain 718.013 in³ of water.

5. Find the volume of the hemisphere when its area of the circular base is 616 sq. units.

a. 5704.03 cubic units
b. 5344.10 cubic units
c. 5294.90 cubic units
d. 5749.33 cubic units

Answer: d) 5749.33 cubic units

Explanation: Area of circular base = 616 sq. units.
We know that:
The formula for the area of the circular base = πr²

So, substituting the value in the above formula the equation becomes,
616 = 22/7 x r²
r² = 616 × 7/22
r² = 4312 / 22
r² = 196
r² = 196
r = 14 units

Volume of hemisphere = 2/3 πr³
= 2/3 × 22/7 × 14³
= 2/3 × 22/7 × 2744
= 120736 / 21
= 5749.33 cubic units

The volume of the hemisphere is 5749.33 cubic units

Practice Questions on Volume of Hemisphere

1. The volume of a hemisphere is 3617.28 cm³. Find the radius of the hemisphere. (Use π = 3.14)

a) 10 cm
b) 12 cm
c) 13 cm
d) 14 cm

Answer: b) 12 cm

2. A hemisphere has a radius of 6 cm. What is the volume of the hemisphere?

a) 113.097 cm³
b) 226.194 cm³
c) 339.291 cm³
d) 452.571 cm³

Answer: d) 452.571 cm³

3. A hemisphere has a volume of 2250π cm³. What is the radius of the hemisphere?

a) 3 cm
b) 5 cm
c) 15 cm
d) 9 cm

Answer: c) 15 cm

4. A hemisphere has a diameter of 10 cm. What is the volume of the hemisphere?

a) 113.097 cm³
b) 261.904 cm³
c) 339.291 cm³
d) 452.388 cm³

Answer: b) 261.904 cm³

5. Find the volume of a hemisphere whose radius is 3/2 cm.

a) 7.07 cm³
b) 9.02 cm³
c) 10.11 cm³
d) 12.24 cm³

Answer: a) 7.07 cm³

6. Find the volume of the hemisphere when its area of the circular base is 154 sq. units.

a) 235.67 cubic units
b) 467.32 cubic units
c) 718.67 cubic units
d) 845.23 cubic units

Answer: c) 718.67 cubic units

7. How many liters of milk can a hemispherical bowl of diameter 10.5 cm hold?

a) 0.303 L
b) 0.5 L
c) 0.75 L
d) 1 L

Answer: a) 0.303 L 

8. If the volume of a hemisphere is 6174π, find its radius.

a) 19 cm
b) 20 cm
c) 21 cm
d) 22 cm

Answer: c) 21 cm

9. What is the volume of the hemisphere having a radius of 11.2 cm? (Use π = 3.14)

a) 940.77 cm³
b) 1670.12 cm³
c) 1930.62 cm³
d) 2940.98 cm³

Answer: d) 2940.98 cm³

10. A sphere of radius 9 m is cut into two equal halves. Find the volume of each hemisphere that is formed.

a) 1234.3 m³
b) 1527.42 m³
c) 1132.27 m³
d) 1045.62 m³

Answer: b) 1527.42 m³