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fill in the blank so that the resulting statement is true. the volume, …

Question

fill in the blank so that the resulting statement is true. the volume, v, of a right - circular cylinder with height h and radius r is given by the formula ________ the volume, v, of a right - circular cylinder with height h and radius r is given by the formula the volume, v, of a right - circular cylinder with height h and radius r is given by the formula

Explanation:

Step1: Recall volume formula

The volume of a cylinder is the product of the base - area and height.

Step2: Calculate base - area

The base of a right - circular cylinder is a circle. The area of a circle with radius \(r\) is \(A=\pi r^{2}\).

Step3: Find volume

Multiply the base - area by the height \(h\). So \(V = \pi r^{2}h\).

Answer:

\(V=\pi r^{2}h\)