Question

The volume of a cone is 242.1 cubic centimeters. A cylinder has the same base and height as the cone. What is the volume in cubic centimeters of the cylinder? Explain how you the volume

Answer 1

check the picture below.

so... a cylinder that has the same "h" and "r" as a cone, will have a volume of


`\bf \textit{volume of a cone}\\\\ V_(cone)=\cfrac{\pi r^2 h}{3}\qquad 3V_(cone)=\boxed{\pi r^2 h}\qquad V_(cone)=242.1\\\\\\ 3V_(cone)=3(242.1) \\\\\\ \textit{volume of a cylinder}\\\\ V_(cylinder)=\boxed{\pi r^2 h}\implies 3V_(cone)\implies 3(242.1)\implies 726.3`