# How do you find the area of the surface generated by rotating the curve about the y-axis #x^(2/3)+y^(2/3)=1# for the first quadrant?

##### 1 Answer

Apr 23, 2018

#### Explanation:

We can param this:

Let

Then arc lenth along the curve in Q1 is:

The surface **area** of the revolution around the y-axis is:

And: