Find the Volume of the Described Solid $x$ -Axis At $x = - 6$

question 112

Multiple Choice

Find the volume of the described solid.
-The solid lies between planes perpendicular to the $x$ -axis at $x = - 6$ and $x = 6$ . The cross sections perpendicular to the $x$ -axis between these planes are squares whose bases run from the semicircle $y = - \sqrt { 36 - x ^ { 2 } }$ to the semicircle $y = \sqrt { 36 - x ^ { 2 } }$ .

• A) 144
• B) 1152
• C) 288
• D) 576

---

Definitions:

Regression Line

A statistical tool used to describe the relationship between two variables, predicting the value of a dependent variable based on the value of an independent variable.

Volume-Based Cost Driver

A factor that causes the cost of an activity or process to increase or decrease based on the volume of units produced or services rendered.

Discretionary Costs

Expenses that are not essential for the operation of a business, such as advertising or research and development, which can be adjusted or eliminated depending on financial performance.

Research and Development

A business or government activity that involves the investment of resources in the development and refinement of new products, services, or processes.