Question

Calculate the volume of a cylinder with the height of 60cm and a radius 12 cm

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 of the base,
- \( h \) is the height of the cylinder.

Given:
- \( r = 12 \) cm,
- \( h = 60 \) cm.

Now, plug the values into the formula:

\[
V = \pi (12 \, \text{cm})^2 (60 \, \text{cm})
\]

First, calculate \( r^2 \):

\[
r^2 = 12^2 = 144 \, \text{cm}^2
\]

Now substitute that back into the volume formula:

\[
V = \pi (144 \, \text{cm}^2) (60 \, \text{cm}) = \pi (8640 \, \text{cm}^3)
\]

Now, multiply by \( \pi \):

\[
V \approx 3.14 \times 8640 \, \text{cm}^3 \approx 27105.6 \, \text{cm}^3
\]

So the volume of the cylinder is approximately \( 27105.6 \, \text{cm}^3 \).