The Area Is The Same
Calculus
Level
2
In the interval \( 0 \leq x \leq a\):
- Solid A is obtained by revolving the blue region, \( 0 \leq y \leq \frac{1}{2} x \), about the \(x\)-axis.
- Solid B is obtained by revolving the red region, \( \frac{1}{2} x \leq y \leq x \), about the \(x\)-axis.
Which solid has the greater volume?
Note: \(a\) is a positive real number.
by
Pranshu Gaba