Question

Find the volume of a cylinder with a height of 17 mm and a radius of 10 mm.(1 point)
Responses

533.8 mm3
533.8 mm3

1,067.6 mm3
1,067.6 mm3

5,338 mm3
5,338 mm3

1,334.5 mm3

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.

In this case, the radius \( r = 10 \) mm and the height \( h = 17 \) mm.

Substituting the values into the formula:

\[
V = \pi (10)^2 (17)
\]

\[
V = \pi (100)(17)
\]

\[
V = 1700\pi
\]

Now, using \( \pi \approx 3.14 \):

\[
V \approx 1700 \times 3.14 \approx 5328 \text{ mm}^3
\]

Rounding this value gives:

\[
V \approx 5338 \text{ mm}^3
\]

So, the volume of the cylinder is approximately **5,338 mm³**.

The correct response is:

**5,338 mm³**