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Integration problem

http://www.physics.ox.ac.uk/olympiad/PastPapers.html#BPhOP1
for the 2014 A2 Paper, how would you do q4av- what happens to dr and dT?
Thanks

Reply 1

ian.slater

Original post by runny4

http://www.physics.ox.ac.uk/olympiad/PastPapers.html#BPhOP1
for the 2014 A2 Paper, how would you do q4av- what happens to dr and dT?
Thanks

The question is leading you to build a differential equation. The way you ask 'what happens to' suggests you don't get where this is going.

Have you come across the idea of building the volume of a sphere from thin onion-like shells? If you haven't, look at the formula for the surface area of a sphere and its volume and maybe a connection will appear .... where does that come from? (oh, and it works for the perimeter and area of a circle too!)

Your question uses a more complicated version of this idea.