Question

question a cylinder has a base radius of 5 feet and a height of 16 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: Recall the formula for the volume of a cylinder

The volume formula for 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 \(r = 5\) feet and \(h=16\) feet. Substitute into \(V=\pi r^{2}h\): \(V=\pi\times(5)^{2}\times16\).
First, calculate \((5)^{2}=25\). Then \(V=\pi\times25\times16\).
Since \(25\times16 = 400\), the formula becomes \(V = 400\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), then \(V=400\times3.14159\).
\(V = 1256.636\).
Rounding to the nearest tenths place, we look at the hundredths digit. The hundredths digit is \(3\), so we keep the tenths digit as is.

Answer:

\(1256.6\)