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 .(1 point)

Responses

500π cm3
500 pi cm cubed

500 cm3
500 cm cubed

100π cm3
100 pi cm cubed

2,000π cm3

1 answer

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, and \( h \) is the height.

Given:

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

Now plug the values into the formula:

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

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

The correct response is:

500π cm³