Question

Find the volume of the solid bounded by the plane z=0 and the paraboloid z=1-x^2-y^2

Answer 1

$V=∫2π0∫10(1−r2)rdrdθ$

Volume of the region:

The double integrals formula formula for the volume of the region is

V=∫∫zdA where z is the length and dA

is the differential area. Here, the limits for integration in polar coordinates are the following

[tex]The double integrals formula formula for the volume of the region is V=∫∫zdAV=∫∫zdA where zz is the length and dAdA is the differential area. Here, the limits for integration in polar coordinates are the following