Solve the Problem $y = \cos 2 x$ About The $x$ -Axis $0 \leq x \leq \pi / 24$

question 46

Multiple Choice

Solve the problem.
-Find the volume generated by revolving the curve $y = \cos 2 x$ about the $x$ -axis, $0 \leq x \leq \pi / 24$

• A) \(\frac { \pi ^ { 2 } } { 48 } + \frac { \pi } { 24 }\)
• B) \(\frac { \pi ^ { 2 } } { 48 } + \frac { \pi } { 16 }\)
• C) \(\frac { \pi } { 48 } + \frac { 1 } { 16 }\)
• D) \(\frac { \pi ^ { 2 } } { 48 }\)

---

Definitions:

Positive

An attribute or condition that reflects an increase, improvement, or favorable outcome.

Gross Investment

The total amount of capital invested in a firm, including replacements for depreciation and new investments for expansion.

Net Investment

The difference between total investment in an economy and the depreciation of capital.

Depreciation

The process by which capital assets lose value over time due to use, wear and tear, or obsolescence.