Verify Gauss's Theorem,
∫Volume ∇→ · F→dv = ∫surface F→ · n^ da
for the function,
F→ = r2 sin θr^ + 4 r2 cos θ θ^ + r2 tan θ Φ^
using the volume of the "ice cream cone" shown below. The top surface is spherical with radius R and centered at the origin.
