Use Spherical Coordinates to Evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$

question 43

Multiple Choice

Use spherical coordinates to evaluate $\iiint _ { B } \sqrt { x ^ { 2 } + y ^ { 2 } + z ^ { 2 } } d V$ , where $B$ is the ball $x ^ { 2 } + y ^ { 2 } + z ^ { 2 } \leq 7$ .
Select the correct answer.

• A) \(2401 \pi\)
• B) \(343 \pi\)
• C) \(686 \pi\)
• D) \(7 \pi\)

---

Definitions:

Color Vision

The ability of the human eye and brain to distinguish objects based on the wavelengths of the light they reflect, emit, or transmit.

Flexibility

The quality of bending easily without breaking, or the ability to adapt to new, different, or changing requirements.

Pupil

The adjustable opening in the center of the eye through which light enters and is focused on the retina.

Velocity

A physical vector quantity that represents the rate of change of position of an object with direction.