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irina1246 [14]
1 year ago
9

What the closest volume of a cylinder with a height of 10 and a circumference of 8

Mathematics
1 answer:
jenyasd209 [6]1 year ago
3 0

In order to calculate the volume of a cylinder, we can use the following formula:

V=\pi r^2h

Where r is the base radius and h is the height.

If the circumference is 8, we have:

\begin{gathered} C=2\pi r \\ 8=2\pi r \\ r=\frac{4}{\pi} \end{gathered}

Now, calculating the volume, we have:

\begin{gathered} V=\pi(\frac{4}{\pi})^2\cdot10 \\ V=\frac{160}{\pi} \\ V=50.93 \end{gathered}

So the correct option is the second one.

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