Find the Volume of the Solid Obtained by Rotating the Region

question 36

Short Answer

Find the volume of the solid obtained by rotating the region bounded by $y=x^{3}$ , x = 0, y = 0, and y = -8 around y = 1.Round to 2 decimal places.

---

Definitions:

Performance Measurement

The process of evaluating the effectiveness and efficiency of actions or operations, often using indicators or metrics.

Variable Cost

Expenses that vary with the level of production or sales volume, including costs such as raw materials and direct labor.

Production Increases

A rise in the amount of goods and services produced by a company, often achieved through enhanced efficiency or expanded capacity.

Total Variable Costs

The sum of all costs that vary with the level of production or service delivery, such as materials and labor.