Question

A region R is revolved about the​ x-axis. The volume of the resulting solid could​ (in principle) be found by using the​ disk/washer method and integrating with respect to ▼ x y or using the shell method and integrating with respect to ▼

Answer 1

Solution in explanation given below.

Explanation:

Consider a region R revolved about the x-axis

The volume of the resulting solid using the shell method is given by:

V =
`\int\limits^d_c {2\pi y[p(y) - q(y)]dy }`

where p(y) ≥ q(y) for c ≤ y ≤ d

Hence, the solutions of the answers are filled with x and y respectively.