Question

multiple choice 2 points
to the nearest cubic centimeter, what is the volume of this cylinder?
20 cm³
98 cm³
9021 cm³
49 cm³

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 and \(h\) is the height.

Step2: Identify the values of \(r\) and \(h\)

Given \(r = 4.4\space cm\) and \(h=0.8\space cm\)

Step3: Substitute the values into the formula

\(V=\pi\times(4.4)^{2}\times0.8\)
First, calculate \((4.4)^{2}=4.4\times4.4 = 19.36\)
Then \(V=\pi\times19.36\times0.8\)
\(V=\pi\times15.488\)
Taking \(\pi\approx3.14\), we have \(V\approx3.14\times15.488 = 48.63232\approx49\space cm^{3}\)

Answer:

\(49\space cm^{3}\)