Question

Find the volume of a cylinder with a radius of 12 mm and a height of 5.5 mm.(1 point)Responses132π mm3132 pi mm cubed66π mm366 pi mm cubed792π mm3792 pi mm cubed363π mm3

Answer 1

The volume \( V \) of a cylinder can be calculated using the formula:

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

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

Given:
- Radius \( r = 12 \) mm
- Height \( h = 5.5 \) mm

Now, plug in the values:

\[
V = \pi (12)^2 (5.5)
\]

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Now substituting back into the volume formula:

\[
V = \pi \cdot 144 \cdot 5.5
\]

Calculating \( 144 \cdot 5.5 \):

\[
144 \cdot 5.5 = 792
\]

Therefore, the volume is:

\[
V = 792\pi \text{ mm}^3
\]

Thus, the answer is \( 792\pi \) mm³.