Question

The base of a solid is a circle, centered at the origin with radius b, and every plane section perpendicular to the x-axis is a square. How do we find the volume of the solid?

Answer choices:
A. (8b^3)/3
B, 2pib^3
C. 4pib^3
D. (16b^3)/3
E. (8pib^3)/3

Answer 1

side = sqrt(b^2 - x^2)

A = ∫ side^2 = ∫(b^2 - x^2) dx, from -b to b

Answer 2

*V* = ...