Question

A solid sphere of radius 15cm is melted and recast into solid right circular cones of radius 2.5cm and height 8cm. calculate the no. of cones

Answer 1

Let the number of cones be n
$\frac{4}{3} \pi \times {15}^{3} = n \times \frac{1}{3} \pi \times {2.5}^{2} \times 8 \\ n = \frac{4 \times {15}^{3} }{ {2.5}^{2} \times 8 } = 270$

Answer 2

number of cones formed is 270