Find the Volume of the Described Solid $x$ -Axis At $x = - 2$

question 81

Multiple Choice

Find the volume of the described solid.
-The solid lies between planes perpendicular to the $x$ -axis at $x = - 2$ and $x = 2$ . The cross sections perpendicular to the $x$ -axis are circles whose diameters stretch from the curve $y = - 7 / \sqrt { 4 + x ^ { 2 } }$ to the curve $y = 7 / \sqrt { 4 + x ^ { 2 } }$ .

• A) \(\frac { 7 } { 4 } \pi ^ { 2 }\)
• B) \(49 \pi\)
• C) \(\frac { 49 } { 4 } \pi ^ { 2 }\)
• D) \(49 \pi ^ { 2 }\)

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Definitions:

Nonrandomly Formed Groups

Groups in a study that are created based on criteria other than random assignment, which can introduce biases or preexisting differences between groups.

One-Group Posttest-Only Design

An experimental design where a single group is exposed to an intervention and then tested, lacking a control group for comparison.

Uninterpretable Nonequivalent Groups Designs

Research designs that lack clear control groups or equivalency between groups, making findings difficult to interpret accurately.

Pretest-Posttest Nonequivalent Groups Design

A quasi-experimental research design where one group is tested before and after an intervention and compared to a control group not receiving the intervention.