math question need help please?

George just won the lottery! He has decided to move into a new fancy house. In his old house, he had an aboveground, circular pool. The pool had a diameter of 20 ft. At the new fancy house, the pool is in-ground, has a circular surface and a cylindrical pedestal in the middle with a statue of someone George does not recognize (he doesn’t care though, the new house is awesome!). When he filled the new pool, he realized that the new pool took 2.4 times as long to fill as his old pool. Trying to figure out why this would be, he noticed that if the pedestal weren’t in the new pool, the radius of the new pool would be four feet more than three times the radius of the pedestal. Weird right? Anyway, what is the swimming area in the new pool? Oh, the pools are both uniformly the same depth, the rates of filling either pool are the same, and please round to the nearest whole square foot.

Vo = d*pi*10^2 = 100d*pi

2.4Vo/R = Vn/R
2.4Vo = Vn

Vn = d*(pi*((4 + 3r)^2 - r^2) = d*pi(16 + 9r^2 - r^2) = d*pi(16 + 8r^2)

2.4(100d*pi) = d*pi(16 + 8r^2)
240 = 16 + 8r^2
r^2 = 224/8 = 28
r = 5.2915

Area = pi(16 + 8r^2) = pi(16 + 8*28) = 754 ft^2

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Swimming Pools in Human Life

Since when swimming pools started being used is subject to doubt. Some think it is the Greeks who started using swimming pools and spas, while some think that the concept of swimming pools were first conceived by aboriginals far before the Greeks. Today, it doesn’t matter when swimming pools started becoming popular, what matters are that swimming pools have now become an indispensable part of our lives.

Swimming pools have modified over the years. Today, there are simple swimming pools, above the ground swimming pools, designer in ground swimming pools, spas, and more to come. Interestingly, all are popular across the world for their own reasons. The obvious question that arises is, how beneficial is swimming pools in human lives? The one and only answer to this question is, plenty. The most obvious benefits of swimming pools and spas are relaxation. Nothing can be more fun, relaxing, and easy mode of exercising as a swimming pool or spa.

The variations in swimming pools have added to its popularity. Earlier people had to manage a time to go to a community swimming pool, however today there are private swimming pools that come in the form of in-ground swimming pools, above ground swimming pools, spas with sizes and shapes to accommodate a single person, as well as a family.

Extensive studies are still being carried out to evaluate greater health benefits of swimming pools and spas. Relaxation, physical exercise, etc are something which was first to be proved. Further, when hydrotherapy came into light, swimming pools became the sole contender for the benefits. The health benefits of swimming pools cannot be ignored at all.

Today, doctors are advising people with various other medical conditions can like arthritis, asthma, obesity, etc to spend some time in swimming pools and spas to get rid of their conditions without having to rely on medicines. Today, experts are evaluating the endless benefits of swimming pools, which truly are endless…in fact, it is no longer a doubt that swimming pools are here to stay.

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