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The circumference of a round swimming pool at a resort is 157 feet. The pool is 6 feet deep but can only be filled to three-fourths of its height for safety reasons. How many cubic feet of water should be put in the pool? Round to the nearest whole cubic foot. Use 3.14 for π.

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706.5 cubic feet of water should be put in the pool.

Explanation:

Given,

The circumference of swimming pool = 157 feet.

The depth of the pool = 6 feet.

For safety purpose
(3)/(4) th of its height water is there.

To find the amount of the water should be there.

Formula

The volume of the pool = circumference×height

Now,

The height(h) of the water is = 6×
(3)/(4) ft =
(9)/(2) ft

So, the volume of the pool = 157×
(9)/(2) cubic feet

=
(1413)/(2) cubic feet = 706.5 cubic feet.

Hence,

706.5 cubic feet of water should be put in the pool.

User Craig Buchek
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