Solve the Problem $\mathrm { V }$ Of a Right Circular Cylinder of Height 2 and Radius

question 4

Multiple Choice

Solve the problem.
-The volume $\mathrm { V }$ of a right circular cylinder of height 2 and radius $\mathrm { r }$ is $\mathrm { V } ( \mathrm { r } ) = 2 \pi \mathrm { r } ^ { 2 }$ . Find the instantaneous rate of change of volume with respect to radius $r$ when $r = 7$ .

• A) \(23 \pi \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• B) \(28 \pi \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• C) \(98 \pi \mathrm { ft } ^ { 3 } / \mathrm { ft }\)
• D) \(32 \pi \mathrm { ft } ^ { 3 } / \mathrm { ft }\)

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Definitions:

Minimal Acceptable

The lowest level or standard considered satisfactory or acceptable for a specific purpose or requirement.

Variable Cost

Costs that change in proportion to the level of production or business activity, such as materials and labor.

Transfer Price

The price at which services or goods are sold between divisions within the same company or between subsidiaries.

Variable Cost

Costs that are directly influenced by the quantity produced or the volume of sales transactions.