Question

using triple integral,find the volume of the sphere X2+y2+X2=a2​

Answer 1

Step-by-step explanation:

Finding volume for triple integrals using spherical coordinates :

V = ∫ ∫ ∫ B f ( x , y , z ) d V V=\int\int\int_Bf(x,y,z)\ dV V=∫∫∫Bf(x,y,z) dV.

where B represents the solid sphere and d V dV dV can be defined in spherical coordinates as.

d V = ρ 2 sin d ρ d θ d ϕ dV=\rho^2\sin\ d\rho\ d\theta\ d\phi dV=ρ2sin dρ dθ dϕ