The Volume of the Solid Obtained by Rotating the Plane $y = x ^ { 4 } , y = 1 , \text { and } x = 0$

question 110

Multiple Choice

The volume of the solid obtained by rotating the plane region enclosed by $y = x ^ { 4 } , y = 1 , \text { and } x = 0$ about the y-axis is

• A) \(\pi\)
• B) \(\frac { 2 \pi } { 3 }\)
• C) \(\frac { \pi } { 2 }\)
• D)0
• E) \(\frac { \pi } { 3 }\)
• F) \(\frac { 4 \pi } { 3 }\)
• G) \(\frac { \pi } { 6 }\)
• H)1

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Definitions:

Net Income

The amount of profit left over after all expenses and taxes have been subtracted from total revenue.

Return on Investment

A financial metric used to evaluate the efficiency or profitability of an investment, calculated as the profit from an investment divided by the cost of the investment.

Investment Turnover

A measure of a company's efficiency in using its investments to generate sales revenue.

Profit Margin

A financial metric that measures the amount of net income generated as a percentage of revenues, indicating the efficiency of a company in turning sales into profits.