Question

What is the volume of a cylinder with a base radius of 12 mm
and a height of 50 mm
?(1 point)
π mm3
Remaining Attempts : 3

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,
- \( h \) is the height of the cylinder,
- \( \pi \) is a constant approximately equal to 3.14159.

In this case, the base radius \( r \) is 12 mm and the height \( h \) is 50 mm. Plugging in these values:

\[
V = \pi (12 \, \text{mm})^2 (50 \, \text{mm})
\]

Calculating \( (12 \, \text{mm})^2 \):

\[
(12 \, \text{mm})^2 = 144 \, \text{mm}^2
\]

Now, substituting this back into the formula:

\[
V = \pi (144 \, \text{mm}^2)(50 \, \text{mm})
\]
\[
V = \pi (7200 \, \text{mm}^3)
\]
\[
V = 7200\pi \, \text{mm}^3
\]

Therefore, the volume of the cylinder is:

\[
V = 7200\pi \, \text{mm}^3
\]