*** im timeda sphere and a cylinder have the same radius and height. the volume of the cylinder is 11 ft ^3which equation gives the volume of the sphere?

Archimedes solved this in his famous book Sphere and Cylinder in 225 BC.  The result is reportedly on his tombstone.

The ratio of the volume of the radius r sphere to the cylinder radius r, height 2r is

The same ratio is the ratio of the surface area of the sphere to that of the cylinder (including the ends).

Last choice

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.