Volume of sphere with cylindrical hole and cone with cylindrical core

[yongkiat]

[URGENT]ow to solve this?

Do i need to use any theorem to solve this such as divergence theorem?

the first question need to find the volume of the sphere that a part in up and bottom being cut( z-axis) and the middle is a hole( cylindrical shape )

the second question need to find the volume of a cone with a cylinder.

for both question, the answer is not need completely solve, just need find the main equation for finding the volume.( I mean just find the range for integration by using dx,dy,dz or using polar coordinate )
Equation for finding volume equation using polar coordinate is prefered.

 

[zhentil]

Why would divergence theorem be needed? For the first one, z = +- sqrt(j^2-x^2-y^2). Put this in a polar integral.