Revolutionary solid

Calculus Level 3

Let \(R\) be a positive real number. Let the region bounded by \( y = \sqrt{x} \), \(x=R^2\) and the x-axis be denoted as \(S\). The volume of the solid obtained by rotating \(S\) about the y-axis is equal to \( \alpha R^\beta \pi\). What is \( \alpha + \beta ? \)

×

Problem Loading...

Note Loading...

Set Loading...