Question

question
a cylinder has a base radius of 5 feet and a height of 7 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 formula for the volume 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 \(r = 5\) feet and \(h=7\) feet. Substitute these values into the formula: \(V=\pi\times(5)^{2}\times7\).
First, calculate \((5)^{2}=25\). Then the formula becomes \(V=\pi\times25\times7\).
Since \(25\times7 = 175\), the formula is \(V = 175\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), we have \(V=175\times3.14159\).
\(175\times3.14159=549.77825\).

Step4: Round to the nearest tenths place

To round \(549.77825\) to the nearest tenths place, look at the hundredths digit. The hundredths digit is \(7\). Since \(7\gt5\), we round up the tenths digit. So \(549.77825\approx549.8\).

Answer:

\(549.8\)