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Question

Multivariable Calculus Question on Integral Calculus

The area of the curved surface
S = \left\\{ (x, y, z) ∈ \R^3 : z^2 = (x − 1)^2 + (y − 2)^2 \right\\}
lying between the planes z = 2 and z = 3 is

A

4π24\pi\sqrt2

B

5π25\pi\sqrt2

C

9π9\pi

D

9π29\pi\sqrt2

Answer

5π25\pi\sqrt2

Explanation

Solution

The correct option is (B) : 5π25\pi\sqrt2.