SOLUTION: A plastic water pipe with a hollow center is 150 inches long, 1 inch thick and has an inner radius of x. Write an algebraic expressions in terms of x that represents the volume of

Algebra ->  Volume -> SOLUTION: A plastic water pipe with a hollow center is 150 inches long, 1 inch thick and has an inner radius of x. Write an algebraic expressions in terms of x that represents the volume of       Log On


   



Question 1086224: A plastic water pipe with a hollow center is 150 inches long, 1 inch thick and has an inner radius of x. Write an algebraic expressions in terms of x that represents the volume of the plastic pipe.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Inner radius is x.
Outer radius is x%2B1.
So then,
V=pi%28R%5Bo%5D%5E2-R%5BI%5D%5E2%29%2AL
V=pi%28%28x%2B1%29%5E2-x%5E2%29L
V=pi%28x%5E2%2B2x%2B1-x%5E2%29L
V=pi%282x%2B1%29L
Substituting,
V=pi%282x%2B1%29%28150%29
highlight%28V=150pi%282x%2B1%29%29in%5E3