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Mensuration Practice Test 10
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© examsnet.com
Question : 21
Total: 40
Let the largest possible right circular cone and the largest possible sphere be fit into two cubes of same length. Let C and S denote the volume of the cone and volume of the sphere respectively. Which one of the following is correct?
C = 2S
S = 2C
C = S
C = 3S
Validate
Solution:
Let the length of the cube = 6 cm
Height of the cone = 6 cm
Radius = 3 cm
Radius of the sphere = 3 cm
(
1
3
π
r
2
h
)
=
(
4
3
π
r
2
)
r
2
h
=
4
r
3
(
3
)
2
(
6
)
=
4
(
3
)
3
54 = 108
54 = 2(54)
From this it is clear that S = 2C
© examsnet.com
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