Question

Find the volume of the cylinder below (not drawn to scale). Use 3.14 for π. Click Here for Help Video




6
6 feet

23
23 feet
15
15 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.

From your description, it looks like you have the diameter and height of the cylinder:

- The height \( h = 23 \) feet.
- The diameter is given as \( 15 \) feet.

To find the radius \( r \), you need to take half of the diameter:

\[
r = \frac{d}{2} = \frac{15 \text{ feet}}{2} = 7.5 \text{ feet}
\]

Now we can calculate the volume using the formula. First, calculate \( r^2 \):

\[
r^2 = (7.5 \text{ feet})^2 = 56.25 \text{ square feet}
\]

Now plug in the values into the volume formula:

\[
V = \pi r^2 h = 3.14 \times 56.25 \text{ square feet} \times 23 \text{ feet}
\]

Calculate this step by step:

1. First calculate \( 3.14 \times 56.25 \):

\[
3.14 \times 56.25 = 176.625
\]

2. Now multiply by the height \( 23 \):

\[
V = 176.625 \times 23 = 4062.375
\]

Thus, the volume of the cylinder is approximately

\[
V \approx 4062.38 \text{ cubic feet}
\]

So, the final answer is:

\[
\boxed{4062.38} \text{ cubic feet}
\]