PLease help with this homework

Question

Consider the function y(x) = − sqrt( 1 − x²), the volume of the solid of revolution about the x-axis is :

a. Undefined

b. π

c. 4π/3

d. Cannot be solved using known techniques

Answer 1

The solid obtained by revolving y = - √(1 - x²) about the x-axis

is a sphere whit a radius one R = 1 hence its volume V = (4/3) π R³.

I our case V = (4/3) π