Calculate the volume obtained when rotating the curve y=x^2 360 degrees around the x axis for 0<x<2

I haven't yet figured out how to write in proper mathematical notation on here, and my drawing pad is yet to arrive, so please forgive the formatFirst, the formula for the volume of revolution is V= pi * the integral of (y)^2 dxIn this case it means V = pi * integral (x^4)dx between 0<x<2integrating x^4 gives 0.2 x^5 as we reverse the process of bringing down the power and multiplying, henceV= pi * [0.2 x^5] between 0<x<2Substitute values givesV=pi*(0.22^5-0.20)V=pi0.232V=6.4*pior V=20.106....

Answered by Maths tutor

2926 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Express the following in partial fractions: (1+2x^2)/(3x-2)(x-1)^2


Integrate x^2e^x with respect to x between the limits of x=5 and x=0.


A curve has an equation y=3x-2x^2-x^3. Find the x-coordinate(s) of the stationary point(s) of the curve.


How can I maximise my performance and efficiency in an exam?


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

MyTutor is part of the IXL family of brands:

© 2025 by IXL Learning