Question

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?

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 feet³
round to the nearest hundredth
V=4.18 feet³