Prove the Limit Statement
-The Cross-Sectional Area of a Cylinder $\mathrm { A } = \pi \mathrm { D } ^ { 2 } / 4$

question 41

Multiple Choice

Prove the limit statement
-The cross-sectional area of a cylinder is given by $\mathrm { A } = \pi \mathrm { D } ^ { 2 } / 4$ , where $\mathrm { D }$ is the cylinder diameter. Find the tolerance range of $\mathrm { D }$ such that $| \mathrm { A } - 10 | < 0.01$ as long as $\mathrm { D } _ { \min } < \mathrm { D } < \mathrm { D } _ { \max }$ .

• A) \(\mathrm { D } _ { \min } = 3.567 , \mathrm { D } _ { \max } = 3.578\)
• B) \(\mathrm { D } _ { \min } = 3.567 , \mathrm { D } _ { \max } = 3.570\)
• C) \(\mathrm { D } _ { \min } = 3.558 , \mathrm { D } _ { \max } = 3.570\)
• D) \(\mathrm { D } _ { \min } = 3.558 , \mathrm { D } _ { \max } = 3.578\)

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Definitions:

Extraocular

Outside the eyeball, often relating to the muscles that control the movements of the eye.

Polydactyly

A congenital physical anomaly in humans and animals resulting in more than the usual number of fingers or toes.

Intermuscular

Relating to or situated between muscles.

Subacute

Describes a condition or illness that is not as severe as an acute episode but is more severe than a chronic condition, often indicating an intermediate stage.