Question

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?

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