Dan is planning a vacation and needs to purchase enough food to fill the barrel in his pasture so that his cows will not be hungry while he is away. If the barrel is seven feet high with a radius of 4 feet, what is the volume of feed the barrel can hold?
A. 75.36 cubic feet
B. 50.24 cubic feet
C. 301.44 cubic feet
D. 351.68 cubic feet
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OpenStudy (anonymous):
@mustbethestars
OpenStudy (mustbethestars):
Okay first we got to find the shape of a barrel what do you think a barrel's shape is?
OpenStudy (mustbethestars):
@GalaxyKatz
OpenStudy (mustbethestars):
Come on man you got this
OpenStudy (anonymous):
Sorry!!
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OpenStudy (mustbethestars):
Do you know what shape a barrel is?
OpenStudy (anonymous):
A cylinder?
OpenStudy (mustbethestars):
Correct. Good job. So we have to find the volume of a cylinder. Would you happen to know the formula?
OpenStudy (anonymous):
I know it but I can't type it right...
OpenStudy (anonymous):
It's V = pi r ^2 h
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OpenStudy (anonymous):
\[V = \pi r^2 h\]
OpenStudy (anonymous):
like that?
OpenStudy (mustbethestars):
Yusssss.
So the height is: 7
Radius is: 4
So the equation becomes: \[V= (3.14)(4^2)(7)\]
OpenStudy (mustbethestars):
What is \[4^2\] ?
OpenStudy (anonymous):
16
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OpenStudy (mustbethestars):
Correct and what is 16*3.14?
OpenStudy (anonymous):
50.24
OpenStudy (mustbethestars):
Correct. And what is 50.24 * 7
OpenStudy (anonymous):
351.68
OpenStudy (mustbethestars):
So what is your answer?
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OpenStudy (anonymous):
351.68!!! OH MY GOSH THANK YOU SO MUCH!!
OpenStudy (mustbethestars):
Good job buddy :) No problem if you need any more help tag me. Don't forget to close the question and have a happy studying. Welcome to OpenStudy by the way :)