Use Cylindrical Coordinates to Find the Volume of the Solid $z = 15 x ^ { 2 } + 15 y ^ { 2 }$

question 4

Multiple Choice

Use cylindrical coordinates to find the volume of the solid bounded above by and below by $z = 15 x ^ { 2 } + 15 y ^ { 2 }$ .

• A) \(\frac { 15 } { 32 } \pi\)
• B) \(\frac { 15 } { 22 } \pi\)
• C) \(\frac { 3 } { 10 } \pi\)
• D) \(\frac { 15 } { 46 } \pi\)
• E) \(\frac { 15 } { 64 } \pi\)

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Definitions:

Ill-Fitting Clothing

Clothing that does not fit properly on the body, often leading to discomfort or style issues.

Poor Posture

An alignment of the body that is not optimal, often leading to discomfort, pain, and potentially long-term musculoskeletal issues.

Active Stretching

A form of stretching where the person stretches a muscle by actively contracting the muscle opposite to the one being stretched.

PNF Stretching

Proprioceptive Neuromuscular Facilitation is a technique of combining passive stretching and isometric stretching to increase flexibility.