The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr^ (2) h Cylinder A has a volume of 251.2 cubic inches and has a radius of 4 inches and a height of 5 inches. What is the volume of cylinder B, which has a radius of 3 inches and a height of 9 inches?

Question

Mathematics

Paityn

21 October, 03:39

The volume of a cylinder varies jointly with the square of its radius and with its height: V=kr^ (2) h Cylinder A has a volume of 251.2 cubic inches and has a radius of 4 inches and a height of 5 inches. What is the volume of cylinder B, which has a radius of 3 inches and a height of 9 inches?

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Answers (1)

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Meyers · Answer 1

We have the following equation:

V = kr ^ (2) h

For cylinder A we have:

251.2 = k * ((4) ^ (2)) * (5)

Let's clear k:

k = 251.2 / (((4) ^ (2)) * (5))

k = 3.14

For cylinder B we have:

V = 3.14 * ((3) ^ (2)) * (9)

V = 254.34 in ^ 3

Answer:

the volume of cylinder B is:

V = 254.34 in ^ 3