Question

hat is the volume of this cylinder?

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

4 yd
2 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.

From your measurements:
- The height \( h = 4 \) yards,
- The diameter is \( 2 \) yards, so the radius \( r = \frac{2}{2} = 1 \) yard.

Now plug in the values:

\[
V = \pi \times (1 \, \text{yd})^2 \times (4 \, \text{yd})
\]
\[
V = \pi \times 1 \times 4
\]
\[
V = 4\pi
\]

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

\[
V \approx 4 \times 3.14 = 12.56
\]

Rounding to the nearest hundredth, the volume of the cylinder is:

\[
\boxed{12.56} \text{ cubic yards}
\]