Volume Word Problem (Advanced)

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In this video, Mahalo math expert Allison Moffett gives you a volume word problem for advanced students.

Question 1: Advanced Volume
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A farmer has left you his silo, a 120-ft high cylinder with a 15-ft diameter, and he has told you that it's 65 percent full of feed. What is the volume, in cubic feet in the silo?

A. 13,783.74 cubic feetB. 21,205.75 cubic feetC. 84,823 cubic feetD. 21,205.75 square feetE. 17,550 cubic feet

The Correct Answer
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If you answered A. 13,783.74 cubic feet, you're correct. If you didn't, you can either go back and try to solve it again or see how to get the correct answer below.

First, you need to find the volume of the whole silo. The formula you will use it V=Ah, where V is volume, A is the area of the base and h is the height. The base is a circle, and the area of a circle is
pi times the radius squared. Since the diameter is 15 and half of that is 7.5 (the radius). Thus the filled-in formula is pi times 7.5 squared time 120 (the height). That equals 6750 times pi.But the silo is only 65 percent full, so you must multiply your first answer by 0.65 (65 percent expressed as a decimal). That gives you 13,783.74 cubic feet.

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