Solve the Problem $y = \frac { 28 } { \sqrt { 49 + x ^ { 2 } } }$

question 201

Multiple Choice

Solve the problem.
-An oil storage tank can be described as the volume generated by revolving the area bounded by $y = \frac { 28 } { \sqrt { 49 + x ^ { 2 } } }$ , $x = 0 , y = 0 , x = 2$ about the $x$ -axis. Find the volume (in $\mathrm { m } ^ { 3 }$ ) of the tank.

• A) \(97.9 \mathrm {~m} ^ { 3 }\)
• B) \(24.5 \mathrm {~m} ^ { 3 }\)
• C) \(0.874 \mathrm {~m} ^ { 3 }\)
• D) \(714 \mathrm {~m} ^ { 3 }\)

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Definitions:

Unrealized Profit

Profit that has been made on paper through an investment but has not yet been realized by selling the asset in question.

After-tax Gain

The amount of profit that remains after subtracting the taxes owed on the gain.

Intercompany Profit

Intercompany profit arises from transactions between units of the same company, requiring elimination during the consolidation process to avoid inflating revenues and profits.

After-tax Gain

The net profit that remains after subtracting the tax due from the total gain of a transaction or investment.