Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = e^x, x = 1, and y = 1 is revolved around the line y = -2.

Question

Which of the following integrals will find the volume of the solid that is formed when the region bounded by the graphs of y = e^x, x = 1, and y = 1 is revolved around the line y = -2.

Question options:

1)
2)
3)
4)

Answer 1

Lyzsa,

The correct answer is # 4

first of all: graph it then choose A on the y = e^x and B on the line y = 1 C on the y = -2 ( A B C on the one line parallel y-axis)

A:(x,e^x) B: (x, 1 ) C: (x, -2)

V = Π ∫ (CA^2 - CB^2) dx ------> CA = (e^x+2)^2 CB = (1 -(-2)) ^2 = 9

V =Π ∫ ((e^x+2)^2 - 9) dx from x=0 to x= 1

I hope it is useful,

Minoo