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### Question

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?

**A**

8 cm.

**B**

10 cm.

**C**

6 cm.

**D**

12 cm.

**Soln.**

**Ans: a**

Let the radius of the sphere be R. The volumes are equal. So $4/3$ π R^{3} = $1/3$ π 16^{2} × 8. Cancelling π/3 from both sides, R^{3} = ${16 × 16 × 8}/4$ = 512 = 8^{3}. So R = 8 cm.