find volume of cylinder using integration
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Let there be a XY plane.
and origin be the centre of the base of the cylinder of radius R
Now let the cylinder be along the Y axis with Height equals H.
Consider a arbritrary disc on the cylinder parallel to the the base at a distance of y from the origin.
Lets the disc height be dy.
therefore volume of small disc
dV = area of disc * small height
dV= πr² *dy
the total Volume is just the integration of small Volume when Y is varied from 0 to H.
so net Volume
= intergation of dV
=integration of πr²*dy
= πr²[y] //0 to H
= πr²H. Answer.
with this method u can even find volume of a cylinder which is not right cylinder. u can also find volume of sphere,Cone,square pyramid , tetrahedron or any shape u want .
Hopefully this might have helped you .
and origin be the centre of the base of the cylinder of radius R
Now let the cylinder be along the Y axis with Height equals H.
Consider a arbritrary disc on the cylinder parallel to the the base at a distance of y from the origin.
Lets the disc height be dy.
therefore volume of small disc
dV = area of disc * small height
dV= πr² *dy
the total Volume is just the integration of small Volume when Y is varied from 0 to H.
so net Volume
= intergation of dV
=integration of πr²*dy
= πr²[y] //0 to H
= πr²H. Answer.
with this method u can even find volume of a cylinder which is not right cylinder. u can also find volume of sphere,Cone,square pyramid , tetrahedron or any shape u want .
Hopefully this might have helped you .
iffs:
can you send me the picture of its diagram? :p
i can't brainly doesn't allow me to send picture in edit mode .. sorry
but its simple integration .. you might have used these while reading physics with th hc verma book
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