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LUCKY_DIMON [66]
3 years ago
12

A cylinder has a diameter of 6 ft and height of 9 ft. What is the volume of this cylinder?

Mathematics
1 answer:
Setler79 [48]3 years ago
7 0
First, you've got to figure out the value of the radius so divide the diameter by two. Then, you'll want to find the area of the base or pi times radius squared.
(3.14x3^2)x9=V
After doing the math your answer comes out to 254.34 cubic feet or feet^3
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The solution would be like this for this specific problem:

<span>V = ∫ dV </span><span>
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<span>= ∫0→2 ∫ 0→π/2 [ r·2·r·sin(φ) - r·0 ] dφdr </span>
<span>= ∫0→2 ∫ 0→π/2 [ 2·r²·sin(φ) ] dφdr </span>
<span>= ∫0→2 [ -2·r²·cos(π/2) + 2·r²·cos(0) ] dr </span>
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So the volume of the given solid is 16/3. I am hoping that these answers have satisfied your query and it will be able to help you in your endeavors, and if you would like, feel free to ask another question.

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