34 Let E be the region bounded on the top by cone z SQRTx2y

3.4) Let E be the region bounded on the top by cone z = SQRT(x^2+y^2), on the bottom by the cone z = -SQRT(x^2+y^2), and bounded on the sides by the cylinder x^2 + y^2 = 1.

a) Set up (Do NOT evaluate) the triple iterated integral in cylindrical coordinates for volume of the region E.

Solution

Since x^2 +y^2= r^2 we have

int r dz dr d

From z= -r to r

r=0 to 1

= 0 to 2

3.4) Let E be the region bounded on the top by cone z = SQRT(x^2+y^2), on the bottom by the cone z = -SQRT(x^2+y^2), and bounded on the sides by the cylinder x^

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