- #1
Bob Ho
- 18
- 0
Homework Statement
A solid is definited by the inequalities 0[tex]\leq[/tex]x[tex]\leq[/tex]1, 0[tex]\leq[/tex]y[tex]\leq[/tex]1, and 0[tex]\leq[/tex]z[tex]\leq[/tex]x2+y2. The temperature of the solid is given by the function T=25-3z. Find the average temperature of the solid.
The Attempt at a Solution
I solved the integral, however I could not figure out how to determine what to do to find the average temperature value. In the answers i was given. They have no explanation, just the volume of solid above the inequalities is (!) 2/3.
So they therefore times the integral by 3/2.
Can someone please explain how this idea works? Thanks