Mensuration Practice Test 10

Question : 21 of 40

Marks: +1, -0

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

(1/3πr^2 h)

(4/3 πr^2)

r^2h

4r^3

(3)^2(6)

4(3)^3

54 = 108
54 = 2(54)
From this it is clear that S = 2C

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