Question

a cylinder has a height of 11 inches and a diameter of 8 inches. what is its volume? round your answer to the nearest hundredth. cubic inches submit

Explanation:

Step1: Find the radius

The diameter \(d = 8\) inches. The radius \(r=\frac{d}{2}\), so \(r=\frac{8}{2}=4\) inches.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 4\) inches and \(h=11\) inches.

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Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(V = 176\times3.14159\approx552.92\)

Answer:

\(552.92\)