Problema Solution

The volume of a cylinder is given by the formula V=3.14r^2h where r is the radius of the base of the cylinder and h is the height of the cylinder. If the radius of the cylinder is increased by 3 unit and the height remains the same, the ratio for the volume of the new cylinder to the volume of the original cylinder is 4.1 Find the length of the radius of the original cylinder.

Answer provided by our tutors

The length of the radius of the original cylinder is r

So the equation is

3.14(r+3)^2h / 3.14r^2h = 4.1

(r+3)^2/r^2 = 4.1

r = 2.927

So the length of the radius of the original cylinder is 2.927 unit