Ok so heres the problem: The inner surface of a dog bowl named Gabby is hemispherical, with a radius of 5 inches. If it started out filled to the rim, and I let Gabby drink until the bowl was empty, how much work did she do if she lapped it up with her tongue while keeping her mouth level with the rim of the bowl? (Water has a density of 62.4 pounds/ft^3)
Alright so this is calc. 2, which means the general formula for work is W=Force*Distance. Force is really volume*density. So W=(volume)(density)(distance).
Now, I believe the volume of a hemisphere is V=2/3*pie*r^3. I converted the 5 inches to feet, so thats .42 feet. Now I plugged this into the V formula.
V=2/3*pie*(.42)^3. This yielded .155. I then multiplied this by the density and got 9.67 lbs *(change in X). I am stumped as to what to do next because the y coordinates arn't given, so the distance cannot be retrieved. Please help, thanks.