Sunday

March 1, 2015

March 1, 2015

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

**Answer this Question**

**Related Questions**

DIFF CALCULUS - A swimming pool is 12 meters long, 6 meters wide, 1 meter deep ...

Calculus - A swimming pool is 60ft long by 25ft wide. Its depth varies uniformly...

Calculus - A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the ...

CALCULUS - Hi guys can you help me! Please teach me step by step.. I really need...

physics - Water flows into a swimming pool at a rate of 9.59 gal/min. If the ...

Math - A swimming pool is 40 feet long, 20 feet wide, 8 feet deep at the deep ...

Word Problem - A swimming pool 25 m long, 15 m wide, and 150 cm deep is being ...

Physics - Water flows into a swimming pool at the rate of 5 . 25 gal / min. If ...

physics - Please help me solve !!! Water flows into a swimming pool at the rate ...

science - Imagine that you have a rectangular swimming pool, but you have no ...