Question

The surface area and the radii of a solid sphere and a solid cylinder are same. Find the ratio of their volume​

Answer 1

Step-by-step explanation:

Let R and r be the radius of the solid sphere and the solid hemisphere.

Now the surface area of the solid sphere and the solid hemisphere are 4πR2 and 3π2.

According to the problem,

4πR2=3π2

or, 4R2=3r2

or, R=23r......(1).

Now ratio of their volume is = 4/3πR3/2/3πr3

=2R3/r3

=3root3/4