Question

Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of hemisphere?

Answer 1

Let the radius of the hemisphere be r units.

Volume of a hemisphere = Surface area of the hemisphere

`=> 2/3 pir^3 = 2pir^2`

`=> 2/3r = 2`

`=> r = 3`

⇒ d = 6 units

Hence, diameter of the hemisphere is equal to 6 units.