Calculate the volume of a cylinder with a height of 20 centimeters and a radius of 5 centimeters. Leave your answer in terms of π

Question

.(1 point)
Responses

500 cm3
500 cm cubed

100π cm3
100 pi cm cubed

500π cm3
500 pi cm cubed

2,000π cm3

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 and \( h \) is the height of the cylinder.

Given:

• Height (\( h \)) = 20 cm
• Radius (\( r \)) = 5 cm

Now, substitute the values into the formula:

\[ V = \pi (5)^2 (20) \] \[ V = \pi (25) (20) \] \[ V = 500\pi \text{ cm}^3 \]

So, the volume of the cylinder is \( \boxed{500\pi} \text{ cm}^3 \).