Use Cylindrical Shells to Find the Volume of the Solid $\pi$

question 292

Multiple Choice

Use cylindrical shells to find the volume of the solid when the region enclosed by x = y², x = 0, y = 3 is revolved about the x-axis.

• A) 13.5 \(\pi\)
• B) 40.5
• C) 81 \(\pi\)
• D) 40.5 \(\pi\)
• E) ( \(\pi\))

---

Definitions:

Selling Expenses

Costs incurred directly related to the selling of products or services, including advertising, sales commissions, and store maintenance.

Administrative Expenses

Costs attributed to the general operation of a business, including salaries of executives, office supplies, and utilities, but not including production costs.

Warehouse Supervisor

An individual responsible for overseeing daily operations in a warehouse, including inventory management and personnel supervision.

Raw Materials

The basic materials that are processed or used in the manufacturing of goods, constituting the initial inputs in production.