Volume of a Solid of Revolution

What is the volume of the solid of revolution obtained by revolving about the y-axis the "leaflike" region bounded by the y-axis, the portion of the graph of $ y = x^2 $ where $ x \geq 0 $, and the line $ y = 2x + 3 $? The answer is in the form $\frac{\alpha \pi}{\beta}$ where $\alpha$ and $\beta$ are coprime positive integers. Input the value of $\alpha + \beta$.