Question

question
a cylinder has a base diameter of 8 feet and a height of 10 feet. what is its volume in cubic feet, to the nearest tenths place?
answer attempt 1 out of 2
v = ft³ submit answer

Explanation:

Step1: Find the radius

The diameter \(d = 8\) feet. The radius \(r=\frac{d}{2}\), so \(r=\frac{8}{2}=4\) feet.

Step2: Use the volume formula for a cylinder

The volume formula for a cylinder is \(V=\pi r^{2}h\). Substitute \(r = 4\) and \(h = 10\) into the formula: \(V=\pi\times(4)^{2}\times10\).
First, calculate \((4)^{2}=16\). Then \(V=\pi\times16\times10 = 160\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), \(V\approx160\times3.14159 = 502.6544\).

Step4: Round to the nearest tenths place

Rounding \(502.6544\) to the nearest tenths place. The digit in the hundredths place is \(5\), so we round up the tenths place digit. \(502.6544\approx502.7\).

Answer:

\(502.7\)