Use Cylindrical Coordinates to Evaluate $\iiint _ { T } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$

question 40

Multiple Choice

Use cylindrical coordinates to evaluate $\iiint _ { T } \sqrt { x ^ { 2 } + y ^ { 2 } } d V$ where T is the solid bounded by the cylinder $x ^ { 2 } + y ^ { 2 } = 1$ and the planes $z = 2$ and $z = 5$

• A) \(2\) \(\pi\)
• B) \(14\) \(\pi\)
• C) \(21\) \(\pi\)
• D) \(3\) \(\pi\)

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Definitions:

Chromosome Number

The total count of chromosomes present in the nucleus of a cell, which varies across different species and is crucial for genetics.

Human Cells

The basic structural, functional, and biological units of the human body, essential for all life processes.

Meiosis

A type of cell division that reduces the chromosomal number by half, leading to the production of gametes in sexually reproducing organisms.

Diploid

An organism or cell having two sets of chromosomes or twice the haploid number, characteristic of most adult forms.