Question

Volume of a hemisphere is 18000 π cubic cm. Find its diameter.

Answer 1

Let the radius of the hemisphere be r cm.

Volume of the hemisphere (V) = 18000 π cm³

Volume of the hemisphere = `2/3 pi "r"^3`

∴ 18000 π = `2/3 πr^3`

⇒ r³ = `[18000  pi xx 3]/[2 pi]`

⇒ r³ = 27000

⇒ r³ = `root(3)(27000)`

⇒ r = 30 cm

∴ Diameter of the hemisphere = 2r = 2 × 30 = 60 cm
Thus, the diameter of the hemisphere is 60 cm.