Question

Here is a cylinder
Height 10
Base 6
Calculate the volume

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.

In your case, the height \( h \) is 10 and the base is 6, which means the diameter is 6. Therefore, the radius \( r \) is half of the diameter:

\[
r = \frac{6}{2} = 3
\]

Now, substituting the values into the volume formula:

\[
V = \pi (3^2)(10)
\]
\[
V = \pi (9)(10)
\]
\[
V = 90\pi
\]

So the volume of the cylinder is \( 90\pi \) cubic units. If you want an approximate numerical value, you can use \( \pi \approx 3.14 \):

\[
V \approx 90 \times 3.14 \approx 282.6
\]

Thus, the volume of the cylinder is approximately \( 282.6 \) cubic units.