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Sidana [21]
3 years ago
12

If the if a cylinder is 7 in tall and has a volume of 63 Pi inches what is the area of the cross section it goes right down the

middle
Mathematics
1 answer:
vitfil [10]3 years ago
7 0

Answer: 9\pi \ in.^2

Step-by-step explanation:

Given

The height of the cylinder is h=7\ in.

The volume of the cylinder is V=63\pi \ in.^3

The volume of the cylinder is the product of area and height

\Rightarrow V=\pi r^2h\\

Insert the values

\Rightarrow 63\pi =A\times 7\\\\\Rightarrow A=\dfrac{63\pi}{7}\\\\\Rightarrow A=9\pi\ in.^2

Thus, the area of the cross-section is 9\pi \ in.^2

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