Problema Solution
The height of a cylinder is four times its radius. If the volume of the cylinder is 108(pie)cm^3 calculate the radius and height.
Answer provided by our tutors
Let
H = the height of the cylinder, H>0
R = the radius of the cylinder, R>0
V = 108(pie)cm^3 the volume of the cylinder
V = R^2(pie)H
R^2(pie)H = 108(pie) divide both sides by pie
R^2 H = 108
We also know that H = 4R so we plug H = 4R into R^2 H = 108
R^2 (4R) = 108
R^3 = 108/4
R^3 = 27
R^3 = 3^3
R = 3 cm
H = 4*3
H = 12 cm
The radius is 3 cm while the height is 12 cm.