Mensuration Practice Test 4

Question : 23 of 40

Marks: +1, -0

The base of a right circular cone has the same radius a as that of a sphere. Both the sphere and cone have the same volume. The height of the cone is:

3a
4a
$7/4$ a
$7/3$ a

Validate

Solution:

Volume of the sphere = Volume of the cone

4/3 πr^3

1/3 πr^2h

Radius of the cone and the sphere = a

4/3 π(a)^3

1/3 π(a)^2 h

4a = h
h = 4a

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