Question

Find the volume of a cylinder with a radius of 50 cm and a height of 25 cm.(1 point)
_ cm^3

Answer 1

To find the volume of a cylinder, you can use the formula:

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

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

Given:
- Radius \( r = 50 \) cm
- Height \( h = 25 \) cm

Now plug the values into the formula:

\[
V = \pi (50)^2 (25)
\]

Calculating \( (50)^2 \):

\[
(50)^2 = 2500
\]

Now substitute this back into the equation:

\[
V = \pi \times 2500 \times 25
\]

Calculating \( 2500 \times 25 \):

\[
2500 \times 25 = 62500
\]

So now we have:

\[
V = \pi \times 62500
\]

Now, using \( \pi \approx 3.14 \):

\[
V \approx 3.14 \times 62500 \approx 196250
\]

Therefore, the volume of the cylinder is approximately:

\[
\boxed{196250} \, \text{cm}^3
\]