SOLUTION: I have a 15ft. x 20ft. pool and need to fill it with 6 inches of water. I tried the formula v=bh=3.14*r squared *h and I come up with v=300=3.14(pie)*r squared*h and I am stuck bec

Algebra ->  Rate-of-work-word-problems -> SOLUTION: I have a 15ft. x 20ft. pool and need to fill it with 6 inches of water. I tried the formula v=bh=3.14*r squared *h and I come up with v=300=3.14(pie)*r squared*h and I am stuck bec      Log On


   

Question 333102: I have a 15ft. x 20ft. pool and need to fill it with 6 inches of water. I tried the formula v=bh=3.14*r squared *h and I come up with v=300=3.14(pie)*r squared*h and I am stuck because it looks like I need the radius of the pool cylinder. If this is the case is the radius half of 15ft. and how or what formula should I use since I need to know how many gallons of water I need in order to fill 6 inches of water in the pool and what will the water weight be total and weight per gallon for transport purposes. My email is chucklisa@ymail.com and I struggle now in college algebra and could use all the advice I can get since I forget how to use these formulas daily.
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Are you trying to say that your pool is in the shape of an elliptical cylinder with major axis 20 and minor axis 15?

If that is the case, you need the area of your ellipse as the value for in the formula .

The area of an ellipse is given by:



Where is the semi-major axis (half of the major axis, 10 feet in your case) and is the semi-minor axis, half of the minor axis, or 7.5 feet in your case.

Putting it all together:



Remember, 6 inches is 1/2 foot. You can do your own arithmetic

John

My calculator said it, I believe it, that settles it