6.3 Integral Applications
Question #5 (Medium): Describing a Solid Based on Cylindrical Shells
Whether the volume is expressed as ∑ ̅ ̅ , or ∫ , it is
important to recognize which component makes up the and , as well as the line of
rotation and the integral interval.
Describe the solid given by the integral representing the volume of a solid based on cylindrical shells.
The integral expression contains 5 components: multiplication of 4 t