$\text { A solid is generated by revolving the region bounded by } y = \sqrt { 100 - x ^ { 2 } } \text { and }$

question 39

Multiple Choice

$\text { A solid is generated by revolving the region bounded by } y = \sqrt { 100 - x ^ { 2 } } \text { and }$ $y = 0$ about the $y$ -axis. A hole, centered along the axis of revolution, is drilled through this solid so that one-third of the volume is removed. Find the diameter of the hole. Round your answer to three decimal places.

• A) \(11.547\)
• B) \(5.774\)
• C) \(4.867\)
• D) \(18.838\)
• E) \(9.734\)

---

Definitions:

Caregivers

Individuals who provide assistance and support to people with illnesses, disabilities, or other needs.

Nightmares

Disturbing dreams that cause the dreamer to wake up feeling anxious and frightened.

School Refusal

A child's refusal to attend school or difficulty remaining in school for the full day, often due to anxiety, fear, or other emotional distress.

Ontario Child Health Study

A research project investigating the physical and mental health of children and adolescents in Ontario, Canada.