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.Com
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) (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:
\left(\frac{9h}{4r}\right)\ =\ 9h\ -\ \frac{9h}{4r}x)
Then:
\,dx)
-0\right)\ =\ 48\pi{r^2}h)
Check: Volume of a cone: 
Substitute 
and 
^2\cdot{9h}\ =\ \frac{\pi\cdot 16r^2\cdot{9h}}{3}\ =\ 48\pi{r^2}h)
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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