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The Volume of a Can That Is 12 Centimeters (Cm) (r)=37.68r2( r ) = 37.68 r ^ { 2 }

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Essay

The volume of a can that is 12 centimeters (cm) tall is approximated by the function v (r)=37.68r2( r ) = 37.68 r ^ { 2 } , where r is the radius of the can in cm. Chicken soup costs $0.01 per milliliter (mL) and since 1 mL=1 cm31 \mathrm {~mL} = 1 \mathrm {~cm} ^ { 3 } , we can say that chicken soup costs 0.01 per cm30.01 \text { per } \mathrm { cm } ^ { 3 } . The cost to fill a 12 cm tall can with chicken soup is given by C(v) = 0.01v, where v is the volume of the can in cm3\mathrm { cm } ^ { 3 } .
a. Find (Cv)(r)( C \circ v ) ( r ) and interpret its meaning in the context of this problem.
b. Approximate to the nearest cent the cost to fill a 12 cm can with chicken soup if the can's radius is 5 cm.

Explain the operational mechanism of servant leadership.
Identify and exemplify the core characteristics of servant leadership.
Understand the role of power and authority in the practice of servant leadership.
Recognize potential challenges and resistance to servant leadership in organizational contexts.

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