Question

Calculate the volume of a cylinder with a height of 25 millimeters and a diameter of 40 millimeters.(1 point)
Responses

40,000π mm3
40,000 pi mm cubed

1,000π mm3
1,000 pi mm cubed

10,000π mm3
10,000 pi mm cubed

4,000π mm3

Answer 1

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

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

where \( r \) is the radius, and \( h \) is the height of the cylinder.

1. First, find the radius. The diameter of the cylinder is 40 mm, so the radius \( r \) is half of that:

\[
r = \frac{40}{2} = 20 \text{ mm}
\]

2. The height \( h \) is given as 25 mm.

3. Now plug the values into the volume formula:

\[
V = \pi (20^2)(25)
\]

4. Calculate \( 20^2 \):

\[
20^2 = 400
\]

5. Now substitute that back into the volume formula:

\[
V = \pi (400)(25)
\]

6. Multiply \( 400 \) by \( 25 \):

\[
400 \times 25 = 10,000
\]

7. Therefore, the volume \( V \) is:

\[
V = 10,000 \pi \text{ mm}^3
\]

So, the correct answer is:

**10,000π mm³** or **10,000 pi mm cubed**.