The problem
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Find the height of a cylinder that has a diameter of 12 and a volume of 1,017.9 in3
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Answer provided by our tutors
Let
d = 12 in is the diameter
V = 1,017.9 in^3
h = the height of the cylinder
The formula for the volume of cylinder is:
V=π*r^2*h
Since 'd = 2r' we can find 'r' if we solve
12 = 2r
2r = 12
r = 12/2
r = 6 in
Now, lets plug all the values into 'V=π*r^2*h' and solve for 'h':
1,017.9=π*6^2*h
π*6^2*h = 1,017.9
Also keep in mind that π = 3.14
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h = 9.0048 in approximately
The height of the cylinder is 9.0048 in.