Saturday

February 28, 2015

February 28, 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!

**Answer this Question**

**Related Questions**

Math - A circular swimming pool is 4 feet deep and has a diameter of 15 feet. If...

Math - A circular swimming pool is 4 feet deep and has a diameter of 15 feet. If...

Calculus - Suppose that water is pouring into a swimming pool in the shape of a ...

calculus - Suppose that water is pouring into a swimming pool in the shape of a ...

math - calculus - Suppose that water is pouring into a swimming pool in the ...

Math - Suppose that water is pouring into a swimming pool in the shape of a ...

Algebra 1 - A circular pool has a diameter of 12 feet. The pool is 5 feet deep ...

math - A circular pool has a diameter of 12 feet. The pool is 5 feet deep ...

Math - A swimming pool size is 42 m long and 55 m wide with an average depth of ...

Math - swimming pool Theflow rate for one pipe is 1 1/4 that of another pipe. A ...