Volumes Practice Test 3

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Question : 15 of 40

Marks: +1, -0

A hollow sphere of internal and external diameters 4 cm and 8 cm respectively is melted into a cone of base diameter 8 cm. Find the height of the cone.

7 cm
14 cm
21 cm
28 cm

Solution:

Here,

1/3 π . 4^2 . h

=

4/3 π (4^3-2^3)

⇒ 16h = 4 × 56
∴ h =

{4×56}/{16}

= 14 cm

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