Question

Determine the volume generated bounded by the curves y= 1/x, 2x - y =0, x=10, and the x-axis. Rotated about the x-axis. 

Answer 1

According to second theorem of Guldino, volume obtined by a rotation of a section bounded by a function f(x) 

and the x-axis between a and b is :$V=\pi\int_a^bf^2(x)dx$

In our case, we have 

$V= \pi \int_1^2e^{(2x)}dx=\pi/2(e^4-e^1)$

so it will be: 

$2x-y=0\space$

$—> 2(10)-y=0$

$Y=20m$