Question

A sphere and a cube are of the same height. The ratio of their volume is

​

Answer 1

Answer:

So, let the diameter of the sphere and side of the cube be x units. Therefore, the ratio of the volumes of sphere and cube of equal heights is 11 : 21.

Answer 2

Answer: 11 : 21

Step-by-step explanation: Height of the sphere is its diameter

                                             Height of the cube is its side

Volume of the sphere = $4/3*\pi *r^3$ = $4/3*\pi *(d/2)^3$

Volume of the cube = $a^3$ = $d^3$

  $4/3 * 22/7*(d/2)^3 : d^3$

= $4/3*22/7*(d^3/2^3) : d^3$

= $4/3*22/7*d^3/8 : d^3$

= $11d^3/21 : d^3$

= $11d^3 : 21d^3$

= $11:21$