Answer:
4021 cm^3
Step-by-step explanation:
The volume of a cylinder can be found using the following formula.
![V=\pi r^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20r%5E2h)
where r is the radius and h is the height.
We know the cylinder has a height of 20 centimeters and a diameter of 8 centimeters.
h= 20 cm
d= 8 cm
Substitute these values into the formula.
![V=\pi (8 cm^2) * 20 cm](https://tex.z-dn.net/?f=V%3D%5Cpi%20%288%20cm%5E2%29%20%2A%2020%20cm)
First, evaluate the exponent.
8 cm^2= 8 cm * 8 cm= 64 cm
![V=\pi * 64 cm^2*20 cm](https://tex.z-dn.net/?f=V%3D%5Cpi%20%2A%2064%20cm%5E2%2A20%20cm)
Multiply 64 cm^2 and 20 cm
![V=\pi *1280 cm^3](https://tex.z-dn.net/?f=V%3D%5Cpi%20%2A1280%20cm%5E3)
Multiply 1280 cm^3 and pi
![V=4021.2386 cm^3](https://tex.z-dn.net/?f=V%3D4021.2386%20cm%5E3)
Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.
![V= 4,021 cm^3](https://tex.z-dn.net/?f=V%3D%204%2C021%20cm%5E3)
The volume is about 4,021 centimeters^3.