A cylinder has a volume of 478.85 cubic centimeters. The diameter of the cylinder is 10 cm. What is the height of the cylinder? (Assume = 3.

Well, to figure out the volume of a cylinder, we can use 

V = (pi)*(r²)*(h)          ---Pi times radius squared times height 

Let's fill in what we know, and it should give us what the height is.

V = (pi)*(r²)*(h)

478.85 = (3.14)*(5²)*(h)         ---Radius is half of the diameter

478.85 = (3.14)*(5²)*(h) 

478.85 = (3.14)*(25)*(h) 

478.85 = (78.5)*(h) 

478.85 = 78.5h

÷78.5      ÷78.5           ---Divide both sides by 78.5

6.1 = h

h = 6.1

So the height of the cylinder is 6.1 cm.

Let's check it:

V = (pi)*(r²)*(h)

478.85 = 3.14*5²*6.1

478.85 = 3.14*25*6.1

478.85 = 3.14*15.25

478.85 = 478.85

It works!