Multivariable Calculus

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Moderate

Volume Between Two Surfaces

MVCALC-PAC1EJ

Computer the volume of the solid enclosed between two cones:

$$z=\sqrt{x^2+y^2} \text{ and } z=2-\sqrt{x^2+y^2}$$

A

$\cfrac{4\pi}{3}$

B

$\cfrac{2\pi}{3}$

C

$\cfrac{\pi}{3}$

D

$-\cfrac{2\pi}{3}$

E

$1$