Solve the Problem $x$ -Axis and the Curve $y = \sin 6 x , 0 \leq x \leq \pi / 6$

question 143

Multiple Choice

Solve the problem.
-Find the volume of the solid generated by revolving the region in the first quadrant bounded by the $x$ -axis and the curve $y = \sin 6 x , 0 \leq x \leq \pi / 6$ about the line $x = \pi / 6$ .

• A) \(\frac { \pi ^ { 2 } } { 36 }\)
• B) \(\frac { 1 } { 18 } \pi ^ { 2 }\)
• C) \(\frac { 1 } { 18 } \pi\)
• D) \(\frac { 1 } { 18 } \pi ^ { 2 } - \pi\)

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Definitions:

Double-declining-balance

A method of accelerated depreciation that doubles the rate at which an asset's book value declines, compared to straight-line depreciation.

Straight-line Depreciation

A method of allocating the cost of a tangible asset evenly over its useful life.

Financial Accounting

The field of accounting focused on reporting financial information and transactions for decision makers outside the organization.

Tax Accounting

The area of accounting that deals with preparing tax returns and planning for future tax obligations.