An Anthill Is in the Shape Formed by Revolving the Region

question 49

Multiple Choice

An anthill is in the shape formed by revolving the region bounded by and the x-axis about the y-axis. A researcher removes a cylindrical core from the center of the hill. What should the radius be to give the researcher 5% of the dirt?

• A) 0.8409
• B) 0.6818
• C) 0.1591
• D) 0.3182

---

Definitions:

Computerized Axial Tomography

A medical imaging technique that uses computer-processed combinations of many X-ray measurements taken from different angles to produce tomographic images (virtual 'slices') of specific areas of a scanned object.

Brain

An organ of the central nervous system responsible for integrating sensory information and directing all voluntary and involuntary actions.

Chemicals

Substances composed of atoms or molecules, often used in the context of synthetic or industrial materials, but also encompassing all matter.

Behavioral Genetics

The study of how genetics and the environment influence behavioral traits.