Use Cylindrical Coordinates to Evaluate $\int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 16 - x ^ { 2 } - y ^ { 2 } } } z d z d y d x$

question 139

Multiple Choice

Use cylindrical coordinates to evaluate $\int _ { - 2 } ^ { 2 } \int _ { 0 } ^ { \sqrt { 4 - x ^ { 2 } } } \int _ { 0 } ^ { \sqrt { 16 - x ^ { 2 } - y ^ { 2 } } } z d z d y d x$ .
Select the correct answer.

• A) \(12 \pi\)
• B) \(112 \pi\)
• C) \(\frac { 3 } { 2 } \pi\)
• D) \(14 \pi\)

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Definitions:

Sound Wave

Mechanical displacement of molecules caused by changing pressure that possesses the physical properties of frequency, amplitude, and complexity. Also referred to as a compression wave.

Hearing Damage

Impairment or loss of auditory function, potentially resulting from exposure to loud noise, disease, or aging.

dB

Decibel; a unit of measurement used to express the intensity of sound or the power level of an electrical signal by comparing it with a given level on a logarithmic scale.

Compression Of Air

The process of reducing the volume and increasing the pressure of air by mechanical means.