Question

question
what is the volume, in cubic feet, of a cylinder with a height of 10 feet and a base radius of 4 feet, to the nearest tenths place?
answer attempt 1 out of 2
v = ft³ submit answer

Explanation:

Step1: Recall the formula for the volume of a cylinder

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

Step2: Substitute the given values into the formula

Given \(r = 4\) feet and \(h=10\) feet. Substitute these values into the formula: \(V=\pi\times(4)^{2}\times10\).
First, calculate \((4)^{2}=16\). Then \(V=\pi\times16\times 10=160\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), we have \(V = 160\times3.14159=502.6544\).

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 digit in the tenths place. So \(V\approx502.7\).

Answer:

\(502.7\)