Question

what is the volume of the cylinder with a height of 20 inches and a radius of 5 inches? (round to the nearest tenth.) the volume is cubic inches.

Explanation:

Step1: Recall the volume formula of a cylinder

The volume formula 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

Given \(r = 5\) inches and \(h=20\) inches. Substitute into the formula: \(V=\pi\times(5)^{2}\times20\).
First calculate \((5)^{2}=25\), then \(25\times20 = 500\). So \(V = 500\pi\).

Step3: Calculate the numerical value

Take \(\pi\approx3.14159\). Then \(V=500\times3.14159=1570.795\).

Step4: Round to the nearest tenth

Rounding \(1570.795\) to the nearest tenth. The digit in the hundredth place is \(9\), so we round up the digit in the tenth place. \(1570.795\approx1570.8\).

Answer:

\(1570.8\)