Use the Method of Disks to Find the Volume of the Solid

question 82

Multiple Choice

Use the method of disks to find the volume of the solid that results by revolving the region enclosed by the curves y = x³, x = 0, x = 3, y = 0 about the x-axis. Approximate area to three decimal places.

• A) 6,870.663
• B) 381.704
• C) 63.617
• D) 981.523
• E) 28.274

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Definitions:

Null Hypothesis

A hypothesis in statistical analysis that suggests no significant difference or effect; it's the default position that there is no association between two measured phenomena.

Mean Square

A statistical measure used particularly in ANOVA, calculated by dividing the sum of squares by its degrees of freedom.

Error

The discrepancy between the actual measurement and its real value.

Mean Square

A statistical measure of the average of squared differences from the mean, used in various analyses like variance and ANOVA.