Need help with a calculus problem

Question

The region bounded by y = x² and y= √x is revolved around the y-axis. What is the volume of the resulting solid?

a. 9π/70

b. 3π/10

c. 2π/5

d. 4π

Answer 1

choose dA=(x^.5-x²)dx so that dV=2pix(x^.5-x²)dx. V=∫dV from 0 to 1 (x=1 the two curves intersect). That integral yiels 2pi/5