Question

the volume of this cylinder is 62.8 cubic meters. what is the radius? round your answer to the nearest hundredth. 5 m r = meters submit

Explanation:

Step1: Write the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

We know that \( V = 62.8\space m^{3}\) and \( h=5\space m\), and \(\pi\approx3.14\). Substituting these into the formula gives \( 62.8 = 3.14\times r^{2}\times5\).

Step3: Simplify the right - hand side of the equation

First, calculate \(3.14\times5 = 15.7\). So the equation becomes \(62.8=15.7r^{2}\).

Step4: Solve for \(r^{2}\)

Divide both sides of the equation by \(15.7\): \(r^{2}=\frac{62.8}{15.7}\). Since \(\frac{62.8}{15.7} = 4\), we have \(r^{2}=4\).

Step5: Solve for \(r\)

Take the square root of both sides. \(r=\sqrt{4}\) (we consider the positive root since radius is non - negative). So \(r = 2.00\space m\).

Answer:

\(2.00\)