If the total surface area of a solid hemisphere is 462 cm², find its volume. [Take π = 22/7]

Question

If the total surface area of a solid hemisphere is 462 cm 2 , find its volume. [Take π = 22/7]

Philoid · Accepted Answer

Given total surface area of hemisphere = 462 cm²

We know that TSA of hemisphere = 3πr²

⇒ 3πr² = 462

⇒ r² = 49

⇒ r = 7

We know that volume of hemisphere

= 718.66 cm³

∴ Volume of hemisphere = 718.66 cm³

If the total surface area of a solid hemisphere is 462 cm2, find its volume. [Take π = 22/7]