Question

grain silo is composed of a cylinder and a hemisphere. The diameter is 4.4 meters. The height of its cylindrical portion is 6.2 meters.

A half-sphere is stacked on top of a cylinder. They both share a circular base. The cylinder has a height of 6.2 meters and the sphere has a diameter of 4.4 meters.

What is the approximate total volume of the silo? Use 3.14 for π and round the answer to the nearest tenth of a cubic meter.

37.1 m3
71.9 m3
116.5 m3
130.8 m3

Answer 1

Radius = 4.4/2 = 2.2 m.

Cylinder volume = πr^2h = 3.14 × (2.2)^2 × 6.2
(2.2^2 = 4.84; 4.84×6.2 = 30.008)
Cylinder ≈ 3.14 × 30.008 = 94.2251 m^3

Hemisphere volume = (1/2)(4/3)πr^3 = (2/3)πr^3
r^3 = 2.2^3 = 10.648
Hemisphere ≈ (2/3) × 3.14 × 10.648 = 22.2898 m^3

Total ≈ 94.2251 + 22.2898 = 116.5149 ≈ 116.5 m^3

Answer: 116.5 m^3.