Volume and Surface of Solid of Revolution
Ques] The volume of the solid generated by the revolution, about x-axis, of the area bounded by the curve y = f(x), the x-axis and the ordinates x=a, =b is given by
Int a- b pi*y^2 dx
where y = f(x) is continuous, single valued function in the interval a<=x<=b and the curve does not cross the x-axis, the axis of revolution?
Please help with such type of problems how will you solve this type of problem?
Int a- b pi*y^2 dx
where y = f(x) is continuous, single valued function in the interval a<=x<=b and the curve does not cross the x-axis, the axis of revolution?
Please help with such type of problems how will you solve this type of problem?
Replies
-
skipperThis is 1st year calculus. To calculate a solid of revolution first define the "y" curve that will be revolved around the x axis. Start with something simple like a disk or annulus.
Move up to more complex examples, like say a bell, or a wineglass.
This gets you into integration by parts.
You are reading an archived discussion.
Related Posts
In rankine cycle , after passing through pump why we cannot take the enthalpy of saturated water from steam table ?
in an ideal rankine cycle , fluid approaching the pump is always a saturated fluid. but what about the fluid coming from pump, is it saturated ?
if not then...
How to simulate a robot in pro-e using degrees of freedom......
I got this idea from CEan Durga. She recently updated her personal email signature to include a link to CE 😀
I guess we can come up with a nice...
hi....
this is a common question generally asked "How to study to get good marks?"
but if the question is asked by an engineering student then what all you great...