Question

A cylinder shaped drum is used as a garbage container. The drum has a height of 4 ft and a radius of 1.25 ft.
How many cubic feet of garbage does the drum hold?
Use 3.
3.14 to approximate pi
Enter your answer as a decimal rounded to the nearest hundredth in the box.
Ft^3

Answer 1

To find the volume of a cylinder, we use the formula:

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

where:
- \( V \) is the volume,
- \( r \) is the radius, and
- \( h \) is the height.

Given:
- Height \( h = 4 \, \text{ft} \)
- Radius \( r = 1.25 \, \text{ft} \)
- Approximation for \( \pi = 3.14 \)

Now, substituting the values into the formula:

\[
V = 3.14 \times (1.25)^2 \times 4
\]

First, calculate \( (1.25)^2 \):

\[
(1.25)^2 = 1.5625
\]

Now, substitute this value back into the volume formula:

\[
V = 3.14 \times 1.5625 \times 4
\]

Now calculate \( 1.5625 \times 4 \):

\[
1.5625 \times 4 = 6.25
\]

Now substitute this into the volume calculation:

\[
V = 3.14 \times 6.25
\]

Now perform the multiplication:

\[
V = 19.625
\]

Finally, rounding \( 19.625 \) to the nearest hundredth gives us:

\[
19.63
\]

So, the drum holds **19.63 cubic feet** of garbage.