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

2,000π cm3
2,000 pi cm cubed

500 cm3
500 cm cubed

100π 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:

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

Now, plug in the values:

\[ V = \pi (5)^2 (20) \] \[ V = \pi (25)(20) \] \[ V = 500\pi \]

Therefore, the volume of the cylinder is:

500π cm³ or 500 pi cm cubed.