Question

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

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 of the cylinder.

1. First, we need to find the radius \( r \). The diameter of the cylinder is given as 40 millimeters, so the radius is:

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

2. Next, plug the radius and height into the volume formula. The height \( h \) is given as 25 millimeters.

\[
V = \pi (20 \text{ mm})^2 (25 \text{ mm})
\]

3. Calculate \( (20 \text{ mm})^2 \):

\[
(20 \text{ mm})^2 = 400 \text{ mm}^2
\]

4. Now substitute back into the volume formula:

\[
V = \pi (400 \text{ mm}^2)(25 \text{ mm})
\]

5. Calculate \( 400 \text{ mm}^2 \times 25 \text{ mm} \):

\[
400 \text{ mm}^2 \times 25 \text{ mm} = 10000 \text{ mm}^3
\]

6. Finally, multiply by \( \pi \):

\[
V = \pi \times 10000 \text{ mm}^3 \approx 31415.93 \text{ mm}^3 \quad (\text{using } \pi \approx 3.14159)
\]

Thus, the volume of the cylinder is approximately:

\[
V \approx 31415.93 \text{ mm}^3
\]