Derivative of a right circular cone

  • #1

b.mueller5

3
0
inverted right-circular cone, with radius at the top 15 meters and depth 12 meters. rate of 2 cublic meters per minute. How fast is the depth increasing at the instant when the depth is 8 meters.

When i try to solve it I get an equation with 2 varibles.
 
Last edited:
  • #2
Note that one can relate radius r at any point to the depth h at that point. Then dV/dt will be in terms of dh/dt only.
 
  • #3
Think of one side of the cone as starting at (0, 0) and going to (15, 12). What is the equation of that line?
 

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