Question

What is the volume of this cylinder?

Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

10 ft
10 ft

cubic feet

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, and \(h\) is the height of the cylinder.

In this case, the height \(h\) is 10 feet, and the diameter of the base is also 10 feet. To find the radius \(r\), you divide the diameter by 2:

\[
r = \frac{d}{2} = \frac{10 \text{ ft}}{2} = 5 \text{ ft}
\]

Now, substitute the values of \(r\) and \(h\) into the volume formula:

\[
V = \pi (5 \text{ ft})^2 (10 \text{ ft})
\]

Calculating \( (5 \text{ ft})^2 \):

\[
(5 \text{ ft})^2 = 25 \text{ ft}^2
\]

Now substitute this into the volume formula:

\[
V = \pi (25 \text{ ft}^2) (10 \text{ ft})
\]

Now multiply \(25 \text{ ft}^2\) by \(10 \text{ ft}\):

\[
V = \pi (250 \text{ ft}^3)
\]

Now, substitute \( \pi \approx 3.14 \):

\[
V \approx 3.14 \times 250 \text{ ft}^3
\]

Calculating that:

\[
V \approx 785 \text{ ft}^3
\]

Rounding to the nearest hundredth,

\[
V \approx 785.00 \text{ ft}^3
\]

So the volume of the cylinder is approximately **785.00 cubic feet**.