Verify the gausss theorem

Reference no: EM131004310

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.

1228_The top surface is spherical with radius R.jpg

Reference no: EM131004310

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