How do you prove that the volume of a sphere is equal to the volume of a cone?
The volume of a cone is 1/3(h)(pi)(r2), where h is the height of
the cone, pi is 3.1415 and r is the radius of the circle that forms
the bottom.
The volume of sphere is 4/3(pi)(r2) where pi is 3.1415 and r is
the radius of the sphere.
The (r2) means radius squared. If you put in the values of r for
each and the value of h for the cone and solve the two equations,
and the answers are the same, the volumes are the same. We can set
the expression for the volume of a cone equal to the expression for
the volume of a sphere. If, when we plug in the variables, they are
equal, the volumes will be equal. Vcone = Vsphere 1/3 (h) (pi)
(rc2) = 4/3 (pi) (rs2)