Question

A cylinder has a height of 12 yards and a radius of 20 yards. What is its volume? Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.cubic yards

Answer 1

To calculate the volume \( V \) of a cylinder, you can use the formula:

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

where:
- \( r \) is the radius,
- \( h \) is the height,
- \( \pi \) is a mathematical constant approximately equal to 3.14.

Given:
- Height \( h = 12 \) yards
- Radius \( r = 20 \) yards
- Using \( \pi \approx 3.14 \)

We can plug in the values into the formula:

\[
V = 3.14 \times (20)^2 \times 12
\]

First, calculate \( (20)^2 \):

\[
(20)^2 = 400
\]

Now substitute \( 400 \) back into the volume formula:

\[
V = 3.14 \times 400 \times 12
\]

Next, calculate \( 400 \times 12 \):

\[
400 \times 12 = 4800
\]

Now calculate the volume:

\[
V = 3.14 \times 4800
\]

Perform the multiplication:

\[
V = 15072
\]

Finally, we will round the answer to the nearest hundredth. Since the answer is a whole number, the volume of the cylinder is:

\[
V \approx 15072.00 \text{ cubic yards}
\]

So the volume of the cylinder is approximately **15072.00 cubic yards**.