# solid of revolution

• June 16th 2008, 07:50 PM
jimmy
solid of revolution
Hi there i'm pretty stuck on where to start and what to do with the following question

Find the volume of the solid of revolution obtained by rotating, a full turn about the x-axis, the area between the x-axis and the curve y = 2 sin x, for x ∈ [ π , 3π ].

Thanks
if anyone can help me out
• June 16th 2008, 07:51 PM
Mathstud28
Quote:

Originally Posted by jimmy
Hi there i'm pretty stuck on where to start and what to do with the following question

Find the volume of the solid of revolution obtained by rotating, a full turn about the x-axis, the area between the x-axis and the curve y = 2 sin x, for x ∈ [ π , 3π ].

Thanks
if anyone can help me out

$V_{x-axis}=\pi\int_a^b\left[f(x)\right]^2dx$