The region is a sphere of radius 2. find the limits of integration on the triple integral for the volume of the sphere using cartesian, cylindrical, and spherical coordinates and the function to be integrated. for your answers θ= theta, ϕ=phi, and rho= rho.

cartesian
v=∫ba∫dc∫fep(x, y,z) dxdydz
where a= , b= , c= , d= , e= , f= and p(x, y,z)= .
cylindrical
v=∫ba∫dc∫fep(r,θ,z)dzdrdθ
where a= , b= , c= , d= , e= , f= and p(r,θ,z)= .
spherical
v=∫ba ∫dc ∫fep(rho,θ,ϕ)drhodθdϕ
where a= , b= , c= , d= , e= , f= and p(rho,θ,ϕ)= .