Find the Volume of the Described Solid $y = 3 \cos x$

question 97

Multiple Choice

Find the volume of the described solid.
-The base of a solid is the region between the curve $y = 3 \cos x$ and the $x$ -axis from $x = 0$ to $x = \pi / 2$ . The cross sections perpendicular to the $x$ -axis are isosceles right triangles with one leg on the base of the solid.

• A) \(\frac { 9 } { 4 } \pi\)
• B) \(\frac { 3 } { 2 } \pi\)
• C) \(\frac { 9 } { 8 } \pi\)
• D) \(2 \pi\)

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Definitions:

Control Limits

Statistical boundaries in process control that indicate the maximum and minimum values expected for a stable process performance.

Data Analysis

The process of inspecting, cleaning, transforming, and modeling data with the objective of discovering useful information, informing conclusions, and supporting decision-making.

Process Output

Refers to the final product or result that is produced by a process, quantifiable in terms of quality and quantity.

Control Chart

A graphical tool used to monitor processes and ensure that they operate at their full potential by detecting significant variations that might indicate problems.