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

2,000π cm3
2,000 pi cm cubed

500π cm3
500 pi cm cubed

100π cm3
100 pi cm cubed

500 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,
  • \( h \) is the height.

Here, the radius \( r = 5 \) cm and the height \( h = 20 \) cm. Plugging in these values:

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

Thus, the volume of the cylinder is:

500π cm³.