The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. cross sections of the solid perpendicular to the x-axis are semicircles. what is the volume, in cubic units, of the solid?

288 times pi over 35
576 times pi over 35
144 times pi over 35
8π

A is correct

Step-by-step explanation:

The base of a solid in the region bounded by the two parabolas and .

Two parabola equation:

Cross sections of the solid perpendicular to the x-axis are semicircles.

Diameter of semicircle

Radius of semicircle (r)

Thickness of solid

Range of

Volume of solid = Area of semicircle x Thickness

Hence, A is correct

table 3 represents a direct variation function. : )