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3 years ago

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Mathematics

1 answer:

vova2212 [387]3 years ago

4 0

The volume of a cylinder is $1178.1 \ cm^3$

Explanation:

Given that the diameter of the cylinder is 10 inches.

The radius of the cylinder is given by

$r=\frac{d}{2}$

$r=\frac{10}{2} =5$

Thus, the radius is 5 inches.

Also, given that the height is three times the radius.

Thus, we have,

$h=3r$

$h=3(5)$

$h=15$

Thus, the height is 15 inches.

The volume of the cylinder is given by

$V=\pi r^{2} h$

Substituting the values, we get,

$V=\pi (5)^{2} (15)$

$V=\pi (25) (15)$

$V=375 \pi$

Using the calculator, the value of pi is determined and multiplied with 375.

Hence, we have,

$V=1178.1 \ cm^3$

Thus, the volume of the cylinder is $1178.1 \ cm^3$

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