Question

what is the volume of this cylinder?
round your answer to the nearest hundredth.
cubic feet

Explanation:

Step1: Find the radius

The diameter \(d = 18\) ft, so the radius \(r=\frac{d}{2}=\frac{18}{2}=9\) ft.

Step2: Use the volume formula for a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\). Here \(r = 9\) ft and \(h=8\) ft. Substitute the values: \(V=\pi\times(9)^{2}\times8\).
First calculate \((9)^{2}=81\), then \(V=\pi\times81\times8=648\pi\).
Using \(\pi\approx3.14159\), we have \(V = 648\times3.14159\).
\(648\times3.14159=(600 + 40+8)\times3.14159=600\times3.14159+40\times3.14159 + 8\times3.14159\)
\(600\times3.14159 = 1884.954\), \(40\times3.14159=125.6636\), \(8\times3.14159 = 25.13272\)
\(V=1884.954+125.6636 + 25.13272=2035.75032\approx2035.75\)

Answer:

\(2035.75\)