A feeding trough was made by hollowing out half of a log. The trough is shaped like half a cylinder. It is 5 feet long and has an interior diameter of 1.5 feet. What is the volume of oats that will fill the trough?

Question

Brendon

Mathematics

12 October, 10:57

A feeding trough was made by hollowing out half of a log. The trough is shaped like half a cylinder. It is 5 feet long and has an interior diameter of 1.5 feet. What is the volume of oats that will fill the trough?

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Answers (1)

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Simeon Hutchinson · Answer 1

Answer=4.18 feet³

The formula for the volume of a cylinder is:

V=πr²h

However, the cylinder in the problem is half cylinder, so we have to edit the formula to.

V = (πr²h) / 2

Now lets plug in the information known ...

diameter/2=radius

1.5/2=radius

0.75=radius

V = (π*0.75²*5) / 2

V = (π*0.5625*5) / 2

V = (π*2.8125) / 2

V = (8.8357) / 2

V=4.1785 feet ³

round to the nearest hundredth

V=4.18 feet³