# How do you find the volume of the bounded region if #y = sinx#, #y = 0# from #x = pi/4#, #x = 3pi/4#, revolved around the y-axis?

##### 1 Answer

Jun 19, 2015

Use the shell method.

#### Explanation:

Representative shell has volume:

So the volume of the solid is given by:

Use integration by parts to get:

Then use trigonometry and arithmetic to get: