Question

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a cylinder - shaped drainage pipe 66 in. long measures 25.12 in. around.
what is the volume of the drainage pipe?
enter your answer as a decimal in the box. use 3.14 for \\(\pi\\).
\\(\square\\) in\\(^3\\)

Explanation:

Step1: Find the radius of the base

The circumference formula is \(C = 2\pi r\). Given \(C=25.12\) and \(\pi = 3.14\), we solve for \(r\):
\(25.12=2\times3.14\times r\)
\(r=\frac{25.12}{2\times3.14}=4\)

Step2: Calculate the volume of the cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Here \(r = 4\), \(h = 66\), and \(\pi=3.14\)
\(V=3.14\times4^{2}\times66\)
\(V=3.14\times16\times66\)
\(V = 3315.84\)

Answer:

\(3315.84\)