Discussion of Question with ID = 025 under Volume-and-Surface-Areas

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A cone of height 8 cm and radius of base 16 cm is made up of modeling clay. A child reshapes it in the form of a sphere. What is the radius of the sphere?


8 cm.


10 cm.


6 cm.


12 cm.

Ans: a

Let the radius of the sphere be R. The volumes are equal. So $4/3$ π R3 = $1/3$ π 162 × 8. Cancelling π/3 from both sides, R3 = ${16 × 16 × 8}/4$ = 512 = 83. So R = 8 cm.

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