Question

hat is the volume of this cylinder?

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

3 yd
4 yd

cubic yards

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 of the base,
- \( h \) is the height of the cylinder,
- and \( \pi \) is approximately 3.14.

From the dimensions given:
- The height \( h \) of the cylinder is 4 yards.
- The diameter of the base is given as 3 yards, so the radius \( r \) would be half of the diameter:

\[
r = \frac{3}{2} = 1.5 \text{ yards}
\]

Now, plug these values into the volume formula:

\[
V = 3.14 \times (1.5)^2 \times 4
\]

Calculating \( (1.5)^2 \):

\[
(1.5)^2 = 2.25
\]

So now plug this back into the volume formula:

\[
V = 3.14 \times 2.25 \times 4
\]

Calculating \( 3.14 \times 2.25 \):

\[
3.14 \times 2.25 = 7.065
\]

Now multiply by 4:

\[
V = 7.065 \times 4 = 28.26
\]

Thus, the volume of the cylinder is approximately

\[
\boxed{28.26} \text{ cubic yards}
\]