Answer:
4021 cm^3
Step-by-step explanation:
The volume of a cylinder can be found using the following formula.
[tex]V=\pi r^2h[/tex]
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.
[tex]V=\pi (8 cm^2) * 20 cm[/tex]
First, evaluate the exponent.
8 cm^2= 8 cm * 8 cm= 64 cm
[tex]V=\pi * 64 cm^2*20 cm[/tex]
Multiply 64 cm^2 and 20 cm
[tex]V=\pi *1280 cm^3[/tex]
Multiply 1280 cm^3 and pi
[tex]V=4021.2386 cm^3[/tex]
Round to the nearest cubic centimeter. The 2 in the tenth place tells us to leave the number as is.
[tex]V= 4,021 cm^3[/tex]
The volume is about 4,021 centimeters^3.
