Question

What is the volume of this cylinder?

































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


r = 19 mm
h = 15 mm

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 base of the cylinder,
- \( h \) is the height of the cylinder.

Given:
- \( r = 19 \) mm
- \( h = 15 \) mm
- Using \( \pi \approx 3.14 \)

Now, we can plug the values into the formula:

\[
V = 3.14 \times (19)^2 \times 15
\]

First, calculate \( (19)^2 \):

\[
(19)^2 = 361
\]

Now, substitute this back into the volume formula:

\[
V = 3.14 \times 361 \times 15
\]

Next, calculate \( 361 \times 15 \):

\[
361 \times 15 = 5415
\]

Now, substitute this back into the volume formula:

\[
V = 3.14 \times 5415
\]

Finally, calculate \( 3.14 \times 5415 \):

\[
V \approx 17,004.1
\]

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

\[
\boxed{17004.10} \text{ mm}^3
\]