Question

what is the volume of this cylinder?
round your answer to the nearest hundredth.
32 m
11 m
cubic meters

Explanation:

Step1: Find the radius

The diameter \(d = 32\) m. The radius \(r=\frac{d}{2}\), so \(r=\frac{32}{2}=16\) m.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Here, \(r = 16\) m and \(h=11\) m.
Substitute the values: \(V=\pi\times(16)^{2}\times11\).
First calculate \((16)^{2}=256\). Then \(V=\pi\times256\times11\).
\(256\times11 = 2816\). So \(V = 2816\pi\).
Using \(\pi\approx3.14159\), \(V\approx2816\times3.14159\).
\(2816\times3.14159=2816\times(3 + 0.14159)=2816\times3+2816\times0.14159\)
\(2816\times3 = 8448\), \(2816\times0.14159=2816\times(0.1+0.04 + 0.00159)=281.6+112.64+4.50844 = 398.74844\)
\(V\approx8448+398.74844=8846.74844\approx8846.75\)

Answer:

\(8846.75\)