Use the Shell Method to Find the Volume of the Solid

question 91

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and
lines about the x-axis.
- $$y = 3 x ^ { 2 } , y = 3 \sqrt { x }$$

• A) \(\frac { 9 } { 10 } \pi\)
• B) \(\frac { 27 } { 10 } \pi\)
• C) \(\frac { 27 } { 20 } \pi\)
• D) \(\frac { 27 } { 2 } \pi\)

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Definitions:

Aggressive Behavior

Characterizes actions or practices that are intended to harm or intimidate another person, whether physically, verbally, or psychologically.

Hypothesis

An idea about the possible nature of reality; a prediction tested in an experiment.

Testable Prediction

A forecast or hypothesis that can be verified or disproved through experimentation or observation.

Statistical Methods

The collection of techniques used for collecting, analyzing, interpreting, and presenting data.