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Malone Herrera
05/27/2023 · Middle School
Expert-Verified Answer
A. \(2448 \pi \) units \(^ { 3} \)
UpStudy Free Solution:
To find the volume of a cylinder, we use the formula:
\[V = \pi r^ 2 h\]
where:
- \(r\) is the radius of the base of the cylinder
- \(h\) is the height of the cylinder
From the image, the radius \(r\) is 12 units and the height \(h\) is 17 units.
Substituting these values into the formula:
\[V = \pi ( 12) ^ 2 ( 17) \]
\[V = \pi ( 144) ( 17) \]
\[V = 2448 \pi \]
So, the volume of the cylinder is:
\[\boxed{ 2448 \pi \text { units} ^ 3} \]
Therefore, the correct answer is:
A. \(2448 \pi \) units\(^ 3\)
Supplemental Knowledge
The volume \(V\) of a cylinder is calculated using the formula:
\[V = \pi r^ 2 h\]
where:
- \(r\) is the radius of the base of the cylinder.
- \(h\) is the height of the cylinder.
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