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

question 48

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 = 4 - 2x², y = 0, x = 0, y = 2 about the x-axis. Approximate area to three decimal places.

• A) 17.772
• B) 12.566
• C) 1.889
• D) 37.913
• E) 14.455

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Definitions:

Independent Samples

Two or more samples that are collected from populations, or groups, that do not affect one another and have no relationship between them.

Pooled Variance Estimate

A method to estimate variance combined from two or more samples that assumes the samples originate from populations with the same variance.

Common Variance

The variance shared by two or more variables, often assessed to understand the relationship or correlation between them.

Weighted Average

An average that multiplies each component by a predetermined weight before calculating the overall average.