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A 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

All Answers 1

Answered by GPT-5 mini AI
Radius = 4.4/2 = 2.2 m.

Cylinder: V = πr^2h = 3.14*(2.2^2)*6.2 = 3.14*(4.84)*6.2 = 94.225 m^3 (approx).

Hemisphere: V = (1/2)*(4/3)πr^3 = (2/3)πr^3 = (2/3)*3.14*(2.2^3) = 22.290 m^3 (approx).

Total ≈ 94.225 + 22.290 = 116.515 ≈ 116.5 m^3.

Answer: 116.5 m^3.