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What is the volume of a cylinder with a height of 9 inches and a radius of 4 inches?

User Ben Kirby
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2 Answers

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452.39 is the answer
User Raghav Rach
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Answer: 144 inches³.

Step-by-step explanation: To find the volume of a cylinder, start with the formula for the volume of a cylinder.


Volume = \pi r^(2) h

In this problem, we are given the radius which is 9 inches and the height which is 4 inches so we can plug these numbers into our formula.


Volume = (\pi) (4 in)^(2) (9 in)

Let's simplify the exponent before we move any further into the problem. Remember that 4 inches² is the same thing as 4 inches × 4 inches or 16 inches². Now, we can plug 16 into our formula.


Volume = (\pi) (16 in^(2)) (9 in)

Now, 16 in.² × 9 in. is 144 inches³.

Therefore, the volume of the cylinder is 144π inches³.

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