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:

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

Now, plug the values into the formula:

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

Calculating \( (5)^2 \):

\[ (5)^2 = 25 \]

Now multiply by the height:

\[ V = \pi \times 25 \times 20 \]

Now calculate \( 25 \times 20 \):

\[ 25 \times 20 = 500 \]

So, the volume is:

\[ V = 500\pi \text{ cm}^3 \]

Thus, the answer is:

500π cm³ (or 500 pi cm cubed)