Find the Volume of the Solid Generated by Revolving the Region

question 21

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- $$y = x ^ { 2 } , y = 0 , x = 0 , x = 5$$

• A) \(\frac { 125 } { 3 } \pi\)
• B) \(625 \pi\)
• C) \(\frac { 3125 } { 4 } \pi\)
• D) \(\frac { 625 } { 4 } \pi\)

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Definitions:

Outbreeding

The practice of mating organisms that are not closely related, which is often used to increase genetic diversity within a population.

Clutch Size

The total number of eggs laid or young born by a female bird, reptile, or similar animal at one time.

Extinction

The end of an organism or of a group of organisms, usually a species.