SOLUTION: The water trough is constructed with semicircular ends. It's volume in gallons of the diameter of the end is 20 in. And the length of the trough is 8 ft

Algebra ->  Volume -> SOLUTION: The water trough is constructed with semicircular ends. It's volume in gallons of the diameter of the end is 20 in. And the length of the trough is 8 ft       Log On


   

Question 1080733: The water trough is constructed with semicircular ends. It's volume in gallons of the diameter of the end is 20 in. And the length of the trough is 8 ft

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a solid cylinder would be,
V=pi%28d%5E2%2F4%29L
Since it's a trough, it's half the volume,
V%5Bsc%5D=%28pi%2F8%29d%5E2%2AL
V%5Bsc%5D=%28pi%2F8%2920%5E2%2A%288%2A12%29 in%5E3
That'll be the answer in cubic inches.
There are 231 cubic inches in a gallon,
so in gallons,
V%5Bsc%5D=%28pi%2920%5E2%2A%2812%2F231%29 gallons