Question

find the missing dimension of the cylinder. round your answer to the nearest whole number. volume = 250 ft³ 13

Explanation:

Step1: Find the radius

The diameter is \(8\) ft, so the radius \(r=\frac{8}{2} = 4\) ft.

Step2: Use the volume formula of a cylinder

The volume formula of a cylinder is \(V=\pi r^{2}h\). We know \(V = 250\) \(ft^{3}\) and \(r = 4\) ft. Substitute these values into the formula: \(250=\pi\times(4)^{2}\times h\).

Step3: Solve for \(h\)

First, calculate \(\pi\times(4)^{2}=\pi\times16\approx3.14\times16 = 50.24\). Then the equation becomes \(250 = 50.24h\). So \(h=\frac{250}{50.24}\approx4.976\).

Answer:

\(5\)