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)

Question

Responses

2,000π cm3
2,000 pi cm cubed

500π cm3
500 pi cm cubed

100π cm3
100 pi cm cubed

500 cm3

Answer 1

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.