Volumes of revolution Flashcards
1
Q
How to find centre of mass of an object with uniform density rotated about the x axis?
A
Vx=integral of pi Y^2 x.
2
Q
What is the formula for the centre of mass of a semicircle?
A
It is 4r/3pi from the base
3
Q
How to find the centre of mass of a uniform lamina using strips parallel to y axis?
A
integral of y from a to b dx (x) =intgeral xy dx
(y)= integral y^2/2 dx.
4
Q
How to find the centre of mass of a uniform density lamina using strips parallel to x axis?
A
integral of x from a to b dy = (x) =intgeral x^2/2 dy
(y)= intgeral yx dy
5
Q
What is the formula for the volume of a sphere,hemisphere and cone?
A
4/3pi r^3, 2/3pi r^3 and 1/3pi r^2 h
