A circular swimming pool has a diameter of 14 m, the sides are 4 m high, and the depth of the water is 3.5 m. How much work (in Joules) is required to pump all of the water over the side? (The acceleration due to gravity is 9.8 ` m/s^2 ` and the density of water is 1000 ` "kg"/"m"^3 `.)(adsbygoogle = window.adsbygoogle || []).push({});

W = 9800(integralof)(153.94x)dx from 0.5 to 4

9800 = 1000*9.8 for density*gravity

153.94 = pi(7^2) to give the area of each slice of water

x notates how deep the water is in the pool at that particular point.

I get

11880168.24 joules

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Calculus Question (I already did it, just want a double check) about work

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**