4. Volumes of Prisms and Cylinders
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Use the formula for the volume of a cylinder.
About 12 762 720 cubic centimeters
We are asked to find the difference in volume between the largest and the smallest possible column. Let's use the formula for the volume of a cylinder.
Cylinder | Smallest | Largest |
---|---|---|
Radius | r= 30 | r= 95 |
Height | h= 500 | h= 500 |
Volume | V=Ď€ r^2 h | |
\textcolor{darkorange}{V_\text{smallest}}=\pi({\color{#0000FF}{30}})^2({\color{#009600}{500}})=\textcolor{darkorange}{450\,000\pi} | \textcolor{darkviolet}{V_\text{largest}}=\pi({\color{#0000FF}{95}})^2({\color{#009600}{500}})=\textcolor{darkviolet}{4\,512\,500\pi} |
\textcolor{darkviolet}{V_\text{largest}}={\color{#0000FF}{\textcolor{darkviolet}{4\,512\,500\pi}}}, \textcolor{darkorange}{V_\text{smallest}}={\color{#009600}{\textcolor{darkorange}{450\,000\pi}}}
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Round to nearest integer