The formula for the volume of the sphere is given by V frac43pi r3 Where r radius of the sphere Derivation for Volume of the Sphere The differential element shown in the figure is cylindrical with radius x and altitude dy. Volume formula in spherical coordinates We can use triple integrals and spherical coordinates to solve for the volume of a solid sphere. To find the volume of sphere we have to use the formula.
Volume 43 p r3 Where r is the radius of the sphere.
To do this we simply take the definite integral of the disk area formula from above for all possible heights z which are between -r at the bottom of. The volume of any sphere can be calculated using the equation V 4 3pR3 V 4 3 p R 3 In order to derive the formula for the volume we have to use the circle of the same radius R R and revolve it. It can be given as. To do this we simply take the definite integral of the disk area formula from above for all possible heights z which are between -r at the bottom of.