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C2 Differentiation Question Help

Hey guys, i cant do this differentiation question, help much appreciated.

The Question reads as follows:

A Cylindrical biscuit tin has a close-fitting lid which overlaps the tin by 1 cm. The radii of both the tin and the lid is x cm. The tin is made from a thin sheet of metal area 80π cm2 .

a) Show that the Volume of the tin is π(40x - x2 - x3)

Thanx,
Wiz
Reply 1
The entire surface area of the tin 80π=2πx² + 2πx + 2πxh

The Volume of the tin V=πx²h

h is unknown in both equations.. therefore... rearranging 2nd equation we get

V/πx²=h.....then substitute this into the very first equation to get

80π=2πx² + 2πx + 2πxV/πx²
Tidy up yada yada yada...etc....

40πx²-πx²-πx³=V
Factorising...

V = π(40x - x2 - x3)
Reply 2
yea, i was really close, why did you get + 2πx for the first step?
Reply 3
2πx is the surface area of the overlapping part of the lid....
Reply 4
super_baros
2?x is the surface area of the overlapping part of the lid....


I have not read the whole post but 2?x appears to have dimensions of length and not area.
Come on guys it's xmas!
Leave maths for another day. :cool:
Reply 6
super_baros
2πx is the surface area of the overlapping part of the lid....


The radius is x....c = πd
d = 2x.... therefore c = 2πx... the overlapping part of the lid is only 1cm... so therefore.. it is 2πx X 1 = 2πx
Reply 7
yea, i get it, thx, and a merry christmas to you all :smile:
Reply 8
__WiZaRD__
yea, i get it, thx, and a merry christmas to you all :smile:


Good...good... Merry christmas....
Reply 11
Widowmaker
Okay you've found me out. Just a bit of fun!


You neg rep people for fun? :confused:
RichE
You neg rep people for fun? :confused:

Yeah why not?
It's a stupid system anyway and most people abuse it.
Reply 13
RichE
You neg rep people for fun? :confused:

Holdup Widowmaker, you negged Rich for doing what you did? Weird. I just thought twas mere banter on your behalf..
El Chueco
Holdup Widowmaker, you negged Rich for doing what you did? Weird. I just thought twas mere banter on your behalf..

Yh well I've been neg repped too.
It's all square. :p:
Reply 15
Widowmaker
Yh well I've been neg repped too.
It's all square. :p:


Not by me you haven't - I'll have to wait till tomorrow to abuse the system. :frown:
Reply 16
Widowmaker
Yh well I've been neg repped too.
It's all square. :p:

surely it would have been simpler to just not bother negging him? its christmas after all. spread goodwill, not dish out neg rep. or something. i still cant believe you negged someone over helping someone else, especially as thats what folks do on a student website...
El Chueco
surely it would have been simpler to just not bother negging him? its christmas after all. spread goodwill, not dish out neg rep. or something. i still cant believe you negged someone over helping someone else, especially as thats what folks do on a student website...

I apologise. :frown:
Reply 18
Widowmaker
I apologise. :frown:

this is getting weird - you've done nothing to me to say sorry for as far as i know. anyway, catch ye around, i have the rest of tsr to explore...

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