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January 30, 2015

January 30, 2015

Posted by **Mindy** on Sunday, October 16, 2011 at 10:55pm.

- calculus -
**Steve**, Monday, October 17, 2011 at 1:29pmThe pool has Volume = π * 29^2 * 8/4 = 1682π ft^3

However, the water h feet deep has volume π * 29^2 * 1/4 * h ft^3 = 210.25πh ft^3

V = 841πh/4

dV = 841π/4 dh

0.75 = 841π/4 dh

dh = 0.00113544 ft/min

This rate does not change, since the pool has a circular cross-section, and the radius is constant.

Not only that, it will take 8/0.00028386 = 7045 min to fill the pool. That's 4.9 days!

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