Question

Calculate the volume of a cylinder with the height of 60 cm and a radius of 12 cm.
The answer choices I have are
8, 640 pi cm^3
720 pi cm^3
43,200 pi cm^3
2,880 pi cm^3

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.

Given:
- Height \( h = 60 \) cm
- Radius \( r = 12 \) cm

Now, substitute the values into the formula:

\[
V = \pi (12)^2 (60)
\]

Calculating \( (12)^2 \):

\[
(12)^2 = 144
\]

Then, substitute this back into the equation for the volume:

\[
V = \pi (144) (60)
\]

Now, multiply \( 144 \) by \( 60 \):

\[
144 \times 60 = 8640
\]

Thus, the volume is:

\[
V = 8640 \pi \, \text{cm}^3
\]

Now, let's check the answer choices you provided.

None of them match \( 8640 \pi \, \text{cm}^3 \). It's possible that I may have misread or miscalculated your options. Please confirm the options presented or the problem details.