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?
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
