Find the Volume of the Solid Generated by Revolving the Region

question 15

Multiple Choice

Find the volume of the solid generated by revolving the region about the y-axis.
-The region in the first quadrant bounded on the left by the circle $x ^ { 2 } + y ^ { 2 } = 25$ , on the right by the line $x = 5$ , and above by the line $y = 5$

• A) \(\frac { 125 } { 3 } \pi\)
• B) \(\frac { 125 } { 4 } \pi\)
• C) \(\frac { 250 } { 3 } \pi\)
• D) \(125 \pi\)

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Definitions:

Surveillance

The ongoing, systematic collection, analysis, and interpretation of health data essential for planning, implementation, and evaluation of public health practice.

Assessment Data

The information gathered through observation, interviews, tests, and other methods to evaluate condition or performance.

Initial Assessment

A preliminary evaluation typically conducted by healthcare professionals to determine a patient's current health status and to guide further diagnostic testing or treatment.

Social Isolation

A state of complete or near-complete lack of contact or communication with society or other individuals, often leading to feelings of loneliness.