Problema Solution

The volume of a right circular cylinder is represented by V=πr^2h, where r is the radius of the base (in feet). What is the radius of a right circular cylinder when the volume is 144π cubic feet and the height is 9 feet?

Answer provided by our tutors

V=πr^2h


r = ?

V = 144π ft^3

h = 9 ft


π(r^2)*9 = 144π divide both sides by π


(r^2)*9 = 144


by solving we find and consider the positive root (the radius can not be a negative number)


r = 4 ft


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the radius is 4 feet.