Question

What is the volume, in cubic ft, of a cylinder with a height of 12ft and a base radius of 3ft, to the nearest tenths place?
Answer
Attempt 1 out of 2

Answer 1

To find the volume of a cylinder, you can use the formula:

\[
V = \pi r^2 h
\]

where \(V\) is the volume, \(r\) is the radius of the base, and \(h\) is the height of the cylinder.

Given:
- Height \(h = 12\) ft
- Radius \(r = 3\) ft

Let's plug in the values:

\[
V = \pi (3^2) (12)
\]

Calculating the radius squared:

\[
3^2 = 9
\]

Now, substitute back into the formula:

\[
V = \pi (9) (12) = \pi \times 108
\]

To find the approximate volume, we use the value of \(\pi \approx 3.14159\):

\[
V \approx 3.14159 \times 108 \approx 339.29232
\]

Rounding to the nearest tenths place:

\[
V \approx 339.3 \text{ cubic feet}
\]

Therefore, the volume of the cylinder is approximately **339.3 cubic ft**.