Question

a prism has a height of 12 centimeters and a base area of 36 square centimeters. what is the volume of the cylinder that has the same cross - section area and height?
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the volume of the cylinder is

cubic centimeters.

Explanation:

Step1: Recall the volume formula for a cylinder

The volume formula for a cylinder is \(V = B\times h\), where \(B\) is the base (cross - section) area and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(B = 36\) square centimeters and \(h=12\) centimeters. Then \(V=36\times12\).

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Answer:

432