Question

Calc III - Find the volume of the solid bounded from side by x^2+y^2=4, above the xy-plane and below the sphere with radius 4 centered at the origin.

Answer 1

try always to draw and u will get the answer

Answer 2

I know how to draw it, but how to use polar coordinates to finish the computation?

Answer 3

polar coordinates is like this (r, the angle) instead of using x and y

Answer 4

so you know that the first solid is a cylinder of radius 2 and the second is a sphere of radius 4, and above the xy plane so z is always positive.

from this you can see that the radius will change from 2 to 4, and theta will be from 0 to 2pi and z will be from 0 to (equantion of squere having isolated y)

Answer 5

Thanks :)

Answer 6

and you use cylindrical coordinates, polar coordinates are usually reserved from computations in 2D