Question

A grain silo can be modeled as a right cylinder topped with a hemisphere. Find the volume of the silo if it has a height of 41 m and a diameter of 12 m. Round your answer to the nearest tenth if necessary. (Note: diagram is not drawn to scale.)

Answer 1

The volume of the silo = volume of the hemisphere + volume of the cylinder ≈ 4,410.8 m³.

What is the Volume of a Hemisphere and Cylinder?

Volume of a hemisphere = 2/3πr³

Volume of cylinder = πr²h

The volume of the silo = 2/3πr³ + πr²h

• r = 12/2 = 6 m
• h = 41 - 6 = 35 m

Plug in the values

The volume of the silo = 2/3π(6³) + π(6²)(35) ≈ 4,410.8 m³

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