Question

What is the volume of this cylinder?
The radius is 19mm, and height of 15mm
Use ​𝜋 ≈ 3.14 and round your answer to the nearest hundredth.

Answer 1

To calculate the volume of a cylinder, you can use the formula:

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

where \( V \) is the volume, \( r \) is the radius, and \( h \) is the height.

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

Now, plug in the values:

1. Calculate \( r^2 \):
\[
r^2 = 19^2 = 361
\]

2. Now substitute the values into the volume formula:
\[
V = 3.14 \times 361 \times 15
\]

3. First, calculate \( 3.14 \times 361 \):
\[
3.14 \times 361 = 1134.14
\]

4. Now multiply by the height:
\[
V = 1134.14 \times 15 = 17012.1
\]

Finally, round to the nearest hundredth:

\[
V \approx 17012.10 \, \text{mm}^3
\]

So, the volume of the cylinder is approximately **17012.10 mm³**.