Find the Volume Generated by Revolving an Isosceles Right Triangle

question 10

Essay

Find the volume generated by revolving an isosceles right triangle with hypotenuse 2 about a line perpendicular to the hypotenuse passing through the vertex of one of the acute angles.

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Definitions:

Innate Behaviors

Instinctive actions and reactions that organisms are born with, not learned through experience, such as reflexes or fixed-action patterns.

Haplodiploidy

A mechanism through which sex is determined by the number of copies of each chromosome that an individual receives. Offspring formed from the fertilization of an egg by a sperm (that is, diploids) are female; those formed from unfertilized eggs (that is, haploids) are male.

Eusocial Behavior

The highest level of social organization, characterized by cooperative brood care, division of labor, and overlapping generations within a colony of animals.

Inclusive Fitness

Describes an individual’s combined fitness, including its own reproduction as well as any increase in the reproduction of its relatives due specifically to its own actions.