Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 3, and y = 4 about the y-axis.

Question

Question options:

1)
2)
3)
4)	None of these

Answer 1

Hi Laysa,

A (x,x^2)

B (x,4)

M (0,y)

V = 2pi ∫MA *BA Dx bounded x = 2 to x = 3

V = 2pi ∫ X (X^2 -4) dx

V = 2pi ∫(X^3 -4X) dx

V = 2pi (1/4 x^4 -2X^2)

V = 2pi [ 1/4 * 81 - 18 -(1/4*16 -8)

V = 2pi (25/2)

correct answer is choice # 1

I hope it is useful,

Minoo