Question

What is the volume of the solid obtained by rotating the region bounded by the curves
y = x^3 - 5x^2 +6x ; y = 2x

around the x-axis ?

Answer 1

Did you tried solving?

Answer 2

y = x^3 - 5x^2 +6x ; y = 2x

First check where they both cut each other.

x^3 - 5x^2 + 4x = 0

Solve for x.
You should get:
x = 0 , x =1 , x=4.

Answer 3

Next, Integrate the squared equation with applying limits.
Vol of line - vol of curve.

Answer 4

54PI/35

Answer 5

is my correct

Answer 6

*answer

Answer 7

Im getting 206.8

Answer 8

i mean is that the final answer

Answer 9

Yes. My answer is final too.

Answer 10

Vol under curve = 2048pi/105

Vol under line = 256pi/3