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luda_lava [24]
2 years ago
10

(HELP ASAP)

Mathematics
1 answer:
vova2212 [387]2 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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