Question

Calculate the volume of a cylinder with the height of 60cm and a radius 12 cm
A. 8,640 pi cm^3
B. 720 pi cm^3
C. 43,200 pi cm^3
D. 2,880 pi cm^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 and \( h \) is the height.

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

First, calculate \( r^2 \):

\[
r^2 = 12^2 = 144
\]

Now plug the values into the volume formula:

\[
V = \pi \times 144 \times 60
\]

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

\[
144 \times 60 = 8640
\]

Thus, the volume of the cylinder is:

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

So the answer is:

**A. 8,640 pi cm³**