Question

a cykindrical gasoline can is 18 inches across and 20 inches tall. what is the expression of the vole in cubic inches

Answer 1

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

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

where:
- \( V \) is the volume,
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14159.

Given that the diameter of the can is 18 inches, we can find the radius:

\[
r = \frac{\text{diameter}}{2} = \frac{18}{2} = 9 \text{ inches}
\]

The height \( h \) of the can is given as 20 inches.

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

\[
V = \pi (9)^2 (20)
\]

Calculating \( (9)^2 \):

\[
(9)^2 = 81
\]

Now, substitute this back into the volume formula:

\[
V = \pi (81) (20)
\]

Calculating \( 81 \times 20 \):

\[
81 \times 20 = 1620
\]

So, the volume expression becomes:

\[
V = 1620\pi
\]

Thus, the expression for the volume of the cylindrical gasoline can in cubic inches is:

\[
\boxed{1620\pi}
\]

If you need the numerical value, you can calculate it as:

\[
V \approx 1620 \times 3.14159 \approx 5086.4 \text{ cubic inches}
\] (for reference, if needed).