Question

A cone and a cylinder have congruent height and base bases. The volume of the cone is 18m squared. What's the volume of the cylinder?

Answer 1

Short answer 3 times as much = 54 m^3 <<<<< answer

The volumes are krelated by k So solve for k

Volume of Cylinder = k Volume of the cone.
pi r^2 h = k(1/3 pi r^2 h)  Since you know that r is the same in both and so is h they divide out.
divide by h
pi r^2  = k (1/3 pi r^2 Divide by pi
r^2 = k (1/3 r^2 ) Divide by r^2
1 = k (1/3) multiply by 3
3 = k

The volume will be 3 times as much.as the cone.
3 * 18 = volume of cylinder.
54 <<<< volume of cylinder.