5. Volumes of Pyramids and Cones
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Use the formula for the volume of a cone, and for the volume of a cylinder.
1704 cubic centimeters. See solution.
We know that the volume of a cone is 568 cubic centimeters. We are asked to find the volume of a cylinder that has the same radius and height as the cone.
\textcolor{darkorange}{Bh}={\color{#0000FF}{\textcolor{black}{V_\text{cylinder}}}}
LHS * 3=RHS* 3
Rearrange equation
Therefore, the volume of the cylinder is three times the volume of the cone. Since V_\text{cone}=\textcolor{darkviolet}{568} cubic centimeters, we get that V_\text{cylinder}=3\cdot\textcolor{darkviolet}{568}=1704 cubic centimeters.