Suppose R is the shaded region in the figure. As an iterated integral in polar c

Question

Suppose R is the shaded region in the figure. As an iterated integral in polar coordinates. Consider the solid shaped like an ice cream cone that is bounded by the functions up an integral in polar coordinates to find the volume of this ice cream cone. instructions: Please enter the integrand m the first answer box. typing theta for. Depending on the and dtheta in either order into the second and third answer boxes with only one dr or dtheta in each box and evaluate the integral to find the volume.

Explanation / Answer

In the first quadrant radius of the sector act as the diagonal of the 2 x 2 square.

so radius = 2sqrt(2)

theta in first quadrant is pi/4

theta in second quadrant is - pi/4

Limits of r is from 0 to 2sqrt(2)

so C = 0 and D = 2sqrt(2)

Limits of theta is from -pi/4 to pi/4

A = -pi/4 and B = pi/4

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