Question

the volume of this cylinder is 10,173.6 cubic feet. what is the height? round your answer to the nearest hundredth. 18 ft h h ≈ feet

Explanation:

Step1: Calculate the radius

The diameter is \(18\) ft, so the radius \(r=\frac{18}{2} = 9\) ft.

Step2: Use the cylinder volume formula

The volume formula of a cylinder is \(V=\pi r^{2}h\). We know \(V = 10173.6\) and \(r = 9\). Substitute into the formula: \(10173.6=\pi\times9^{2}\times h\).

Step3: Solve for \(h\)

First, calculate \(9^{2}=81\). Then the equation becomes \(10173.6=\pi\times81\times h\). Since \(\pi\approx3.14\), we have \(10173.6 = 3.14\times81\times h\). \(3.14\times81=254.34\). So \(h=\frac{10173.6}{254.34}\). \(h = 40.00\) (after calculation).

Answer:

\(40.00\)