Part a:
a). find volume of pie with height 2 inches, a base radius of 4.5 inches and a top radius of 5.5 inches
b). Find the approximate volume of a football given the following dimensions. The regulation football is a prolated spheroid with a long axis 11 inches and a circular circumference at the center of the ball of 21 inches. let us make the assumption that when looking at the football from our side, the top half looks like a parabola. write an equation for this parabola and use it to help find the volume of the football.
For part a what I did was add the two circle areas together and multiply with the height please correct me if I am wrong.
For part b I think the equation is y= x^2 -11* 2pi(21). I know part b is wrong, so if you could help me it would be appreciated. thank you.
That is the formula for a Frustum of Right Circular Cone. I just looked it up since that is the shape you described.
For b, I would put the parabola on the x axis where x intercept is since the
r would be are y intercept. Now you have your intercepts. Find the equation of the parabola now.
Or you can have the x intercepts be 0 and 11 and y is 0 as well. Might be easier.