Question

the volume of a cylindrical can is 217π ft³. if the height of the can is 12.3 ft, what is the radius? 4.2 12.3 17.6 51.7

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

We know that \(V = 217\pi\) and \(h=12.3\). Substituting these into \(V=\pi r^{2}h\) gives \(217\pi=\pi r^{2}\times12.3\).

Step3: Solve for \(r^{2}\)

Divide both sides of the equation \(217\pi=\pi r^{2}\times12.3\) by \(\pi\) (since \(\pi
eq0\)), we get \(217 = 12.3r^{2}\). Then \(r^{2}=\frac{217}{12.3}\approx17.64\).

Step4: Solve for \(r\)

Take the square - root of both sides. \(r=\sqrt{\frac{217}{12.3}}\approx4.2\) (we take the positive square root since radius is non - negative).

Answer:

4.2