Question

A sphere of radius r units is converted into a cone of height r units radius of the cone is​

Answer 1

Answer:

Step-by-step explanation:

let radius of sphere be r.

volume of sphere = $\frac{4}{3}$ πr³

let radius of cone be y.

therefore volume of cone will be = $\frac{1}{3}$ πy²h

given, radius of sphere (r) = height of cone (h)

A/q,

$\frac{4}{3}$ πr³ =  $\frac{1}{3}$ πy²h

=> $\frac{4}{3}$ πr³ =  $\frac{1}{3}$ πy²r                                 (∵ r = h)

=> 4r² = y²

=>(2r)² = y²

=> 2r =y

∴ radius of cone is = 2r