Question #124935

Find the volume of a cylinder with a diameter of 10 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank)


1
Expert's answer
2020-07-05T18:15:36-0400

From the task condition we find the radius(r)(r) and height(h)(h):

r=d2=5r=\frac{d}{2}=5 inches,

h=3r=15h=3r=15 inches.


The volume (V)(V) of the cylinder:

V=Sbaseh=15πr2=15π52=1177.5V=S_{base}h=15\pi r^2=15\pi 5^2=1177.5 inches.


Answer: V=1177.5V=1177.5 inches.


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