Solve
-Find the Surface Area of the Cone Frustum Generated $y = ( x / 3 ) + ( 1 / 3 )$

question 129

Multiple Choice

Solve.
-Find the surface area of the cone frustum generated by revolving the line segment $y = ( x / 3 ) + ( 1 / 3 )$ , $1 \leq x \leq 5$ , about the $x$ -axis.

• A) \(11 \pi \sqrt { 10 }\)
• B) \(\frac { 32 } { 3 } \pi \sqrt { 10 }\)
• C) \(\frac { 11 } { 3 } \pi \sqrt { 10 }\)
• D) \(\frac { 32 } { 9 } \pi \sqrt { 10 }\)

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Definitions:

Variable Overhead

Costs that fluctuate with production volume, such as utilities and indirect materials, which do not directly correlate to unit production.

Direct Materials

Raw materials that can be directly attributed to the production of a product, essential in calculating the cost of goods sold.

Direct Labor

The wages and benefits paid to workers who are directly involved in the production of goods or the provision of services.

Fixed Overhead

Regular, fixed business costs that do not fluctuate with changes in production level or sales volume, such as rent or salaries.