Volumes Practice Test 3

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Question : 6 of 40

Marks: +1, -0

A solid metallic spherical ball of diameter 6 cm is melted and recast into a cone with diameter of the base as 12 cm. Find the height of the cone.

3 cm
4 cm
5 cm
6 cm

Solution:

Here,

1/3 . π . 6^2 . h

=

4/3 π . 3^3

⇒ 36h = 4 × 27
∴ h =

{4×27}/{36}

= 3 cm

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