*** PLEASE HELP IM TIMED a sphere and a cylinder have the same radius and height. the volume of the cylinder is 11 ft ^3 which equation gives the volume of the sphere?

Question

asked Jan 15, 2020 145k views

2 Answers

DanNsk · Answer 1 · 2020-01-16T15:30:21+0000

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

$\frac 2 3$

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

Answer: Last choice

Grufas · Answer 2 · 2020-01-20T10:55:18+0000

The first one because it’s the actual formula for a sphere and it has pie at the end because we are solving for a sphere