Question

A rectangular water tank has length 25 feet, wide 10 ft, and depth 10 ft. If the tank is full, how much work does it take to pump all the water out?


HELP!! Calculus Problem

Answer 1

do yu have density?

Answer 2

nope

Answer 3

how should i approach this

Answer 4

we know that the area of the base is:
25*10 = 250

If we take a slice out of the tank of thickness dx we will have a slice volume of:
Area*height = 250dx

water density is roughly 62 Ib/ft^3. So we know that the mass of the slice is:
(62)*(250dx) = 15,500dx

if he wants to pump all the water out that means from 10ft to 0:
\[\int\limits_{10}^{0} 15,500 dx = -775,000 ftlb\]


I think that's how it's done, does it lok right?