Evaluate the Integral $\iint _ { R } \sqrt { x ^ { 2 } + y ^ { 2 } } d A$

question 27

Multiple Choice

Evaluate the integral $\iint _ { R } \sqrt { x ^ { 2 } + y ^ { 2 } } d A$ , where R is the disk with center the origin and radius 2.

• A) \(\frac { \pi } { 3 }\)
• B) \(\frac { 2 \pi } { 3 }\)
• C) \(\frac { 4 \pi } { 3 }\)
• D) \(\frac { 8 \pi } { 3 }\)
• E) \(\frac { 16 \pi } { 3 }\)
• F) \(\frac { 32 \pi } { 3 }\)
• G) \(\frac { 64 \pi } { 3 }\)
• H) \(\frac { 128 \pi } { 3 }\)

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Definitions:

Dissociates

Refers to the process by which molecules or ionic compounds split into smaller particles, often ions, in solution.

Rainwater

Water precipitated from clouds in the form of rain, often considered as a natural source of relatively clean water.

Acidic

A description for substances with a pH less than 7, indicating a higher concentration of hydrogen ions (H+) than water.

Hydrogen Ion

A positively charged ion (H+) formed when a hydrogen atom loses its electron.