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

3377 Views

See similar Maths A Level tutors

Related Maths A Level answers

All answers ▸

Differentiate: y = 3x^2 + 4x + 1 -4x^-1


a) Simplify 2ln(2x+1) - 10 = 0 b) Simplify 3^(x)*e^(4x) = e^(7)


Find the x value of the stationary points of the graph y = x^2e^x


How do you find an angle in a right-angled triangle when you are given two of its side's lengths?


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:

© 2026 by IXL Learning