Find the Volume of the Solid Obtained by Rotating the Region

question 62

Multiple Choice

Find the volume of the solid obtained by rotating the region bounded by $y = x$ and $x = y ^ { 3 }$ about the $x$ -axis.
Select the correct answer.

• A) \(16 \pi\)
• B) \(\frac { 7 } { 2 }\)
• C) \(\frac { 4 } { 15 } \pi\)
• D) \(\frac { 18 } { 35 }\)
• E) \(\frac { 16 } { 7 } \pi\)

---

Definitions:

Accumulated Depreciation

The total depreciation of a company’s assets over their useful lives, representing a decrease in value over time.

Projected Inventory Balance

The estimated quantity of goods a company expects to have on hand over a future period considering expected sales and production.

Activity-based Budgeting

A budgeting approach where budgets are based on the activities and resources necessary to achieve an organization's goals.

Capital Expenditures Budget

A plan for projected expenditures on physical assets that will be used for more than one year, aimed at maintaining or improving the company's operations.