A Solid Is Generated by Revolving the Region Bounded by

question 89

Multiple Choice

A solid is generated by revolving the region bounded by and about the y-axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-fourth of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places.

• A) 1.789
• B) 1.861
• C) 0.732
• D) 1.035
• E) 1.464

---

Definitions:

Limbic System

The limbic system is a complex system of nerves and networks in the brain, involved in emotions such as fear and pleasure.

Neural Connections

Neural connections, known as synapses, are the points at which neurons communicate with each other through neurotransmitters.

Diencephalon

The diencephalon is a division of the brain located between the cerebrum and the midbrain, comprising structures such as the thalamus and hypothalamus, involved in sensory and neural function.

Basal Nuclei

Groups of neurons located deep within the cerebral hemispheres that are involved in controlling movement and coordination.