volume q. (1 Viewer)

[shkspeare]

a drinking glass has teh shape of a truncated cone
if the internal radii of the base and the top are 3cm and 4cm respectively and the depth is 10cm, find by integration its capacity

also part ii

find the volume of the water if the glass is filled to a depth of 5cm

 

[ezzy85]

when doing this, youre rotating a line about the y axis. so draw the cone on a set of axes and find the equation of the required line. ive drawn a diagram here:

http://users.tpg.com.au/adslb8ba/integral.jpg

 

[freaking_out]

Originally posted by ezzy85
when doing this, youre rotating a line about the y axis. so draw the cone on a set of axes and find the equation of the required line. ive drawn a diagram here:

http://users.tpg.com.au/adslb8ba/integral.jpg

lol, this looks more like a 4u volumes question for me.

 

[ezzy85]

4u would use the method where youve got heaps of little discs. ive already forgotton what its called :?

 

[freaking_out]

Originally posted by ezzy85
4u would use the method where youve got heaps of little discs. ive already forgotton what its called :?

slices i fink...:rofl:

 

[-=«MÄLÅÇhïtÊ»=-]

cant u juz simplify the problem here
put the glass on the side
so x axis covers its debt, ie. limit is 0 to 10
juz integrate the line with gradiant -1/20 and 2 as y intercept

depth of 20, juz change the limits