Question

What is the volume of this cylinder?

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

8.8 yd
6 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 of the cylinder,
- \(h\) is the height of the cylinder.

In this case, the diameter of the base of the cylinder is given as 6 yards, so the radius \(r\) is half of that:

\[
r = \frac{6 \text{ yd}}{2} = 3 \text{ yd}
\]

The height \(h\) of the cylinder is given as 8.8 yards.

Now, plug these values into the volume formula:

\[
V = \pi (3 \text{ yd})^2 (8.8 \text{ yd})
\]

Calculating \( (3 \text{ yd})^2 \):

\[
(3 \text{ yd})^2 = 9 \text{ yd}^2
\]

Now, substitute this back into the volume equation:

\[
V = \pi (9 \text{ yd}^2) (8.8 \text{ yd})
\]

Multiply the values:

\[
V = \pi (79.2 \text{ yd}^3)
\]

Now substitute \( \pi \approx 3.14 \):

\[
V \approx 3.14 \times 79.2 \text{ yd}^3
\]

Calculate the multiplication:

\[
V \approx 248.208 \text{ yd}^3
\]

Rounding \(248.208\) to the nearest hundredth:

\[
V \approx 248.21 \text{ cubic yards}
\]

Therefore, the volume of the cylinder is approximately **248.21 cubic yards**.