Drag and drop an answer to each box to correctly complete the explanation for deriving the formula for the volume of a sphere.

The volume of a sphere is given by:



So, we need to deduct this equation. We will walk through Calculus on the concept of a solid of revolution that is a solid figure that is obtained by rotating a plane curve around some straight line (the axis of revolution) that lies on the same plane. We know from calculus that:



Then, according to the concept of solid of revolution we are going to rotate a circumference shown in the figure, then:



Isolationg y:



So,







being -r and r the limits of this integral. 



Solving:



Finally: