SOLUTION: Solve the problem. Use 3.14 as an approximation for where appropriate. A cylindrical drain pipe is 7 inches across the top and about 12 inches high. How many cubic inches of wate

Algebra ->  Volume -> SOLUTION: Solve the problem. Use 3.14 as an approximation for where appropriate. A cylindrical drain pipe is 7 inches across the top and about 12 inches high. How many cubic inches of wate      Log On


   

Question 367358: Solve the problem. Use 3.14 as an approximation for where appropriate.
A cylindrical drain pipe is 7 inches across the top and about 12 inches high. How many cubic
inches of water could it hold (to the nearest hundredth)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Since the diameter is d=7, the radius is r=d%2F2=7%2F2=3.5. So r=3.5


V=pi%2Ar%5E2%2Ah Start with the volume of a cylinder formula.


V=pi%2A%283.5%29%5E2%2812%29 Plug in r=3.5 and h=12.


V=%283.14%29%283.5%29%5E2%2812%29 Replace pi with 3.14 (note: Use more digits of pi to get better accuracy).


V=%283.14%29%2812.25%29%2812%29%29 Square 3.5 to get 12.25.


V=461.58 Multiply 3.14, 12.25 and 12 to get 461.58 (this value is approximate).



So the volume is approximately 461.58 cubic inches.


So the pipe can hold approximately 461.58 cubic inches of water.