SOLUTION: Please help me with this Calculus II problem: Use cylindrical shells to find the volume V of the solid. A right circular cone with height 9h and base radius 4r Thanks in a

Algebra ->  Volume -> SOLUTION: Please help me with this Calculus II problem: Use cylindrical shells to find the volume V of the solid. A right circular cone with height 9h and base radius 4r Thanks in a      Log On


   

Question 783392: Please help me with this Calculus II problem:
Use cylindrical shells to find the volume V of the solid.
A right circular cone with height 9h and base radius 4r
Thanks in advance!
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Assume center of the base is at the origin and axis of the cone is coincident with the -axis.

Height at any point is given by:



Then:





Check: Volume of a cone:

Substitute and



John

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