Y2, C4- Volumes of Revolution

Question 1

What is the equation for the volume around the x axis

Answer 1

V = pi int( y^2) dx from b to a

Question 2

What is the equation for the volume around the y axis

Answer 2

V = pi int( x*2 ) dy from b to a

Question 3

What is the equation for a parametric volume about the x axis

Answer 3

V = pi int( y^2 * dx/dt ) dt from q to b

Question 4

What is the equation for a parametric volume about the y axis

Answer 4

V = pi int( x^2 * dy/dt ) dt from q to b

Question 5

What happens to the limits of an integration when solving parametric volume integrations?

Answer 5

Change the limits to be in terms of t rather than in terms of x or y

Question 6

What is the formula for the volume area of a cone

Answer 6

(1/3) * r^2 * h