Calculus Please help

Question

Use the shell method to find the volume of the solid generated by revolving the region bounded by x = 3 sqrt y, x = -7y​, and y=2 about the​ x-axis.

The volume of the solid generated by revolving the region bounded by

x= 3 sqrt y​, x = −7y​,and y=2 about the​ x-axis is negative ___ cubic units.

Answer 1

For the shell method:

V=2π∫_a^b y(f(y)-g(y)) dy

For this case, a=0, b=2, f(y)=3√y, g(y)=-7y

All that's left is the integration.