Use Cylindrical Shells to Find the Volume of the Solid

question 5

Essay

Use cylindrical shells to find the volume of the solid that results when the area of the region enclosed by y² = x⁷, x = 1, and y = 0 is revolved about the y-axis.

---

Definitions:

Tricuspid Valve

A valve in the heart that lies between the right atrium and the right ventricle, preventing backflow of blood.

Aortic Valve

A valve in the heart between the left ventricle and the aorta that prevents blood from flowing back into the ventricle after it has been pumped out.

Coronary Sinus

A large vein on the posterior side of the heart that collects blood from the heart muscle (myocardium) and returns it to the right atrium.

Coronary Sulcus

A groove on the surface of the heart that marks the division between the atria and the ventricles.