Question

What is the volume of this cylinder?

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

10 cm
5 cm

cubic centimeters

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

where:
- \( r \) is the radius of the cylinder,
- \( h \) is the height of the cylinder,
- \( \pi \) is approximately 3.14.

In your case, the diameter of the cylinder is given as 10 cm, so the radius \( r \) is half of the diameter:

\[
r = \frac{10 \, \text{cm}}{2} = 5 \, \text{cm}
\]

The height \( h \) is given as 5 cm.

Now, substitute the values into the volume formula:

\[
V = 3.14 \times (5 \, \text{cm})^2 \times 5 \, \text{cm
\]
\[
= 3.14 \times 25 \, \text{cm}^2 \times 5 \, \text{cm}
\]
\[
= 3.14 \times 125 \, \text{cm}^3
\]
\[
= 392.5 \, \text{cm}^3
\]

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

\[
\boxed{392.50 \, \text{cubic centimeters}}
\]