Volume of A Sphere and Hemisphere - Class 9 Maths Free MCQ Test with solutions

Test: Volume of A Sphere and Hemisphere - Question 1

If the radius of a sphere is reduced by a factor of 3. Its volume is

A.
reduced by 1/9 of the former volume.
B.
increased by 1/9 of the former volume
C.
reduced by 1/27 of the former volume.
D.
increased by 1/27 of the former volume

Test: Volume of A Sphere and Hemisphere - Question 2

The volume of a hemispherical bowl of radius 10.5 cm is

A.
2025.5 cm³
B.
2435.5 cm³
C.
2425.5 cm³
D.
2225.5 cm³

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Test: Volume of A Sphere and Hemisphere - Question 3

The diameter of a sphere whose volume is 1047.816 cm³ is

A.
8.6 cm
B.
10.6 cm
C.
16.6 cm
D.
12.6 cm

Test: Volume of A Sphere and Hemisphere - Question 4

The radius of a spherical vessel whose volume is 2483.712 cm³ is

A.
6.4 cm
B.
10.4 cm
C.
8.4 cm
D.
12.4 cm

Test: Volume of A Sphere and Hemisphere - Question 5

The radius of a sphere of volume 113.04 cm³ is

A.
2 cm
B.
3 cm
C.
3.5 cm
D.
4 cm

Test: Volume of A Sphere and Hemisphere - Question 6

Six hemispherical bowls each of radius 21 cm are melted and recasted into a sphere. The volume of the new sphere is

A.
118884 cm³
B.
116444 cm³
C.
116424 cm³
D.
116664 cm³

Test: Volume of A Sphere and Hemisphere - Question 7

A hemispherical bowl has radius 5.25 cm. The volume of water it would contain is

A.
276.1875 cm³
B.
303.1875 cm³
C.
293.1875 cm³
D.
300.1875 cm³

Test: Volume of A Sphere and Hemisphere - Question 8

The surface area of a cube is equal to the surface area of a sphere. The ratio of their volumes will be

A.
π : 6
B.
6 : 5π
C.
√3 : 2√π
D.
π : 3

Detailed Solution: Question 8

Let the side of the cube be "a" and radius of the sphere be "r".

Surface area of cube = 6a²
Surface area of sphere = 4πr²

Given:
Surface area of a cube = Surface area of a sphere
6a² = 4πr²
=> a² = (4πr²)/6
=> a² = (2πr²)/3
=> a = r√(2π/3)
Volume of cube = a³
Volume of sphere = (4/3)πr³
Ratio of Volumes,
Cube : Sphere = a³ : (4/3)πr³
Substituting the value of a
r³ (2π/3)^3/2 : (4/3)πr³
On Simplifying,
(2π/3)^3/2 : 4π/3
Squaring both sides
(2π/3)³ : (4π/3)²
Solving the powers
8π³/27 : 16π²/9
Multiply both sides by 27
8π³ : 48π²
8π : 48
π : 6

So, Correct Answer: π : 6

Test: Volume of A Sphere and Hemisphere - Question 9

The Volume of a sphere of radius 4.2 cm is

A.
308.482 cm³
B.
310.464 cm³
C.
312.04 cm³
D.
314.64 cm³

Test: Volume of A Sphere and Hemisphere - Question 10

If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is

A.
16 : 1
B.
1: 16
C.
1 : 8
D.
8 : 1

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Volume of A Sphere and Hemisphere - Free MCQ Practice Test with solutions,

MCQ Practice Test & Solutions: Test: Volume of A Sphere and Hemisphere (10 Questions)

If the radius of a sphere is reduced by a factor of 3. Its volume is

The volume of a hemispherical bowl of radius 10.5 cm is

The diameter of a sphere whose volume is 1047.816 cm³ is

The radius of a spherical vessel whose volume is 2483.712 cm³ is

The radius of a sphere of volume 113.04 cm³ is

Six hemispherical bowls each of radius 21 cm are melted and recasted into a sphere. The volume of the new sphere is

A hemispherical bowl has radius 5.25 cm. The volume of water it would contain is

The surface area of a cube is equal to the surface area of a sphere. The ratio of their volumes will be

The Volume of a sphere of radius 4.2 cm is

If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is

Mathematics (Maths) Class 9

Mathematics (Maths) Class 9

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Volume of A Sphere and Hemisphere - Free MCQ Practice Test with solutions,

MCQ Practice Test & Solutions: Test: Volume of A Sphere and Hemisphere (10 Questions)

If the radius of a sphere is reduced by a factor of 3. Its volume is​

The volume of a hemispherical bowl of radius 10.5 cm is​

The diameter of a sphere whose volume is 1047.816 cm3 is​

The radius of a spherical vessel whose volume is 2483.712 cm3 is​

The radius of a sphere of volume 113.04 cm3 is​

Six hemispherical bowls each of radius 21 cm are melted and recasted into a sphere. The volume of the new sphere is​

A hemispherical bowl has radius 5.25 cm. The volume of water it would contain is​

The surface area of a cube is equal to the surface area of a sphere. The ratio of their volumes will be

The Volume of a sphere of radius 4.2 cm is​

If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is​

Mathematics (Maths) Class 9

Mathematics (Maths) Class 9

Top Courses for Class 9

About this Class 9 Practice Test

Explore more Class 9 Study Resources

If the radius of a sphere is reduced by a factor of 3. Its volume is

The volume of a hemispherical bowl of radius 10.5 cm is

The diameter of a sphere whose volume is 1047.816 cm³ is

The radius of a spherical vessel whose volume is 2483.712 cm³ is

The radius of a sphere of volume 113.04 cm³ is

Six hemispherical bowls each of radius 21 cm are melted and recasted into a sphere. The volume of the new sphere is

A hemispherical bowl has radius 5.25 cm. The volume of water it would contain is

The Volume of a sphere of radius 4.2 cm is

If the radius of a sphere is doubled, then the ratio of the volume of the original sphere to that of the new one is