Question

A storage container for oil is in the shape of a cylinder with a diameter of 8 ft and a height of 16 ft.

Which measurement is closest to the volume of the storage container in cubic feet?

Responses
A 804.25 ft³804.25 ft³
B 33,216.99 ft³33,216.99 ft³
C 1,608.50 ft³1,608.50 ft³
D 402.12 ft³

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.

1. First, find the radius. The diameter of the cylinder is 8 ft, so the radius \( r \) is half of that:

\[
r = \frac{8}{2} = 4 \text{ ft}
\]

2. The height \( h \) is given as 16 ft.

3. Now plug in the values into the volume formula:

\[
V = \pi (4)^2 (16)
\]

4. Calculate \( (4)^2 \):

\[
(4)^2 = 16
\]

5. Now multiply by the height:

\[
16 \times 16 = 256
\]

6. Thus the volume formula now looks like:

\[
V = \pi \times 256
\]

7. Using \( \pi \approx 3.14 \):

\[
V \approx 3.14 \times 256
\]

8. Finally calculate the volume:

\[
V \approx 804.16 \text{ ft}^3
\]

Given the options:

A. 804.25 ft³
B. 33,216.99 ft³
C. 1,608.50 ft³
D. 402.12 ft³

The closest measurement for the volume of the storage container is:

**A. 804.25 ft³**