Question

A solid metallic sphere of radius 10.5 cm is melted and recast into a number of smaller cones, each of radius 3.5 cm and height 3 cm. find the number of cones so formed.

Answer 1

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Answer 2

Let the number of cones be n  

Volume of solid sphere = Volume of n solid  cones

$\bf\huge \frac{4}{3} \pi \times10.5\times10.5\times10.5$

$\bf\huge n\times\frac{1}{3}\times\pi\times$3.5 × 3.5 × 3

n = 4 × 10.5 × 10.5 × 10.5 ÷ 3.5 × 3.5 × 3

n = 126