Question

question
what is the volume of a cylinder with a height of 16.5 m and a base with a radius of 8.9 m, to the nearest tenth of a cubic meter?
answer attempt 2 out of 2

Explanation:

Step1: Recall the formula for the volume of a cylinder

The formula for the volume of a cylinder is \(V=\pi r^{2}h\), where \(r\) is the radius of the base and \(h\) is the height.

Step2: Substitute the given values into the formula

Given \(r = 8.9\space m\) and \(h=16.5\space m\), we substitute these into the formula:
\(V=\pi\times(8.9)^{2}\times16.5\)
First, calculate \((8.9)^{2}=79.21\). Then the formula becomes \(V=\pi\times79.21\times16.5\)
\(V=\pi\times1307.965\)

Step3: Calculate the value

Using \(\pi\approx3.14159\), we have \(V\approx3.14159\times1307.965\)
\(V\approx4118.5\)

Answer:

\(4118.5\space m^{3}\)