Here again
Homework Statement
Find the volume of a right elliptical cone with an elliptic base with semi-axes a and b and heigh h
Homework Equations
So: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1
The Attempt at a Solution
That's what I have, but answer should be...
Did you mean u=2a-x??
I tried but the expression remains almost the same:
V=2\pi\int^{2a}_{0}\sqrt{u}\sqrt{(2a-u)^3}dx=2\pi\int^{2a}_{0}(2a-u)\sqrt{u}\sqrt{(2a-u)}dx
Im stuck there. I can`t find a simplify function that really works...
Homework Statement
Calculate the volume (V) generated by the given function:
y^{2}=\frac{x^3}{2a-x} about the line x=2a
I suppose you have to use cylindrical shells [because it's difficult to fin y], so:
V=2\pi(2a-x)\sqrt{\frac{x^3}{2a-x}}Δx
now...