SOLUTION: If you build a circular pool with a volume of 1000 cubic feet, what is the approximate radius of the pool?
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Question 254246: If you build a circular pool with a volume of 1000 cubic feet, what is the approximate radius of the pool?
Found 2 solutions by ptaylor, Theo:
Answer by ptaylor(2198) (Show Source): You can put this solution on YOUR website!
Volume of a circular pool is given by pi*r^2*h(in this case h is the depth)---a cylinder. Since you don't specify the depth, the radius can be anything that you want it to be----depending on what value you choose for the depth.
Hope this helps---ptaylor
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
depends on the depth of the pool.
If the pool is circular, the formula for volume is
you get
v = 1000 so you get
you can solve for r or you can solve for h.
if you solve for r, you get =
take square root of both sides of equation and you get:
r = +/-
if you solve for h, you get
assuming the depth of the pool is 6 feet all around, the radius would be:
r = +/- feet.
graph of equation for the radius is shown below:
y value represents the radius of the pool.
x value represents the depth of the pool.
you can see that when the depth of the pool is 1 foot, the radius of the pool is:
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