Hi there!
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I believe your answer is:
160π cubic units.
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Here’s why:
The formula for volume of a cylinder is:
[tex]V=\pi r^2h[/tex]
[tex]\boxed\text{Key:}\\\\[/tex][tex]\boxed{\text{Key:}}\\\\\text{R - Radius}\\\\\text{H - Height}[/tex]
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We are given:
- The height of 10 units.
- The radius of 4 units.
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We will replace the 'r' with '4' and we will replace the 'h' with '10'.
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There are two ways to express the answer, either an exact answer in terms of pi or an approximation using 3.14 for pi.
For this answer, I will use the exact terms.
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[tex]\boxed{\text{Finding the Volume of the Cylinder:}}\\\\V=\pi 4^210\\\\-------\\\rightarrow V=4^2*10*\pi \\\\\rightarrow V=16*10*\pi\\\\\boxed{V=160\pi}[/tex]
The answer should be [tex]\boxed{160\pi\text{ units} ^3.}[/tex]
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Hope this helps you. I apologize if it’s incorrect.
