Integral[-a, 0] Integral[-Sqrt(a^2-y^2), 0] Integral[a-Sqrt(a^2-x^2-y^2), a] dz dx dy
Please write an equivalent integral in spherical coordinates.
Hi Dynas, Looks to me your integral:
is the integral from the bottom of the sphere surface in the plot below, to the plane z=a shown in blue. Now, just because the integrand , that's the same as just the volume of 1/8 of a sphere of radius in spherical coordinates: