Prove the Limit Statement
-You Are Asked to Make Some $9 \mathrm {~cm} ^ { 2 }$

Multiple Choice

Prove the limit statement
-You are asked to make some circular cylinders, each with a cross-sectional area of $9 \mathrm {~cm} ^ { 2 }$ . To do this, you need to know how much deviation from the ideal cylinder diameter of $x _ { 0 } = 1.93 \mathrm {~cm}$ you can allow and still have the area come within $0.1 \mathrm {~cm} ^ { 2 }$ of the required $9 \mathrm {~cm} ^ { 2 }$ . To find out, let $A = \pi \left( \frac { x } { 2 } \right) ^ { 2 }$ and look for the interval in which you must hold $x$ to make $| \mathrm { A } - 9 | < 0.1$ . What interval do you find?

A) $( 3.3663,3.4039 )$
B) $( 0.5642,0.5642 )$
C) $( 2.3803,2.4069 )$
D) $( 5.9666,6.0332 )$