Question

A cone of height 24 cm and radius of base 6 cm is made up of modelling clay. A child reshapes it in the form of a sphere. Find the radius of the sphere.​

Answer 1

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The volume of cone = (⅓) × π × 6 × 6 × 24 cm^3.

If r is the radius of the sphere, then its volume is (4/3) πr3.

Since the volume of clay in the form of the cone and the sphere remains the same,

we

have,

(4/3) πr^3 = (⅓) × π × 6 × 6 × 24 cm^3

r^3 = 3 × 3 × 24 = 3^3 × 2^3

So, r = 3 × 2 = 6

Therefore, the radius of the sphere is 6 cm.

Answer 2

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