Question

the region bounded by the curve y=4-x^2, the lines y=3x and the positive x axis is revolved about x-axis. what is the volume of the resulting solid?

Answer 1

the "lines" y=x^3?
isnt that also a curve?

Answer 2

sorry it's y=3x

Answer 3

the region labeled A will rotate about X-axis

Answer 4

got the same graph but cant find the volume

Answer 5

\[V=\int_x A(x) dx
\]
A(x) = area of the region (circle) along the X-axis