Question

An igloo can be modeled as a hemisphere. Its diameter measures 11.2 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.

Answer 1

Hemisphere volume: V = (1/2)(4/3)πr^3 = (2/3)πr^3. Here r = 11.2/2 = 5.6 m.

V = (2/3)π(5.6)^3 = (2/3)π(175.616) ≈ 367.8 m^3.

So the igloo's volume is about 367.8 cubic meters.