Volume and surface area of a solid hemisphere are numerically equal. W

1.	Volume and surface area of a solid hemisphere are numerically equal. What is the diameter of the hemisphere?
Answer» We know that Volume of solid hemisphere = Surface area of solid hemisphere So we get 2/3 πr³ = 3 πr² It can be written as r³/ r² = (3 × π × 3)/ (2 × π) We get r = 9/2 units So the diameter = 2 (9/2) = 9 units Therefore, the diameter of the hemisphere is 9 units.

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

Answer»

We know that

Volume of solid hemisphere = Surface area of solid hemisphere

So we get

2/3 πr³ = 3 πr²

It can be written as

r³/ r² = (3 × π × 3)/ (2 × π)

We get

r = 9/2 units

So the diameter = 2 (9/2) = 9 units

Therefore, the diameter of the hemisphere is 9 units.