Friday

April 18, 2014

April 18, 2014

Posted by **Jasmine** on Thursday, April 19, 2012 at 12:00am.

- calculus -
**Steve**, Thursday, April 19, 2012 at 12:22pmsince the pool is a rectangular solid, it has a cross-section of constant size.

the pool is 15x40 = 600 ft^2

Thus, each ft of depth adds 600ft^3 of volume.

So, at 25ft^3/min, the height rises 25/600 = .0417 ft/min

Now, since this is for calculus class, they must want a solution involving related rates.

v = 40*15*x = 600x when the water is x feet deep.

dv/dt = 600 dx/dt

25 = 600 dx/dt

dx/dt = 25/600 = .0417

**Related Questions**

math - A deck is being built around a rectangular swimming pool. The swimming ...

geometry - the perimeter of a rectangular swimming pool is 40 ft. the length of ...

math - A circular swimming pool has radius of 15 feet. The family that owns the ...

Geometry. - A park has a circular swimming pool. The diameter of the pool is 18 ...

Geometry - a rectangular swimming pool has an area of double 1500ft. The ...

math - The length of a swimming pool is 22 ft. The width is 40 ft. If the volume...

math question - A pool company will install a round swimming pool in the middle ...

Math - a 13 ft by 27 ft rectangular swimming pool is surrounded by a walkway of ...

math - a rectangular swimming pool is 15 yds x 25 yds. the bottom of the pool ...

Intermediate Algebra - The area of a rectangular swimming pool is given by 4x^2+...