Use the Shell Method to Find the Volume of the Solid

question 131

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
- $y = x ^ { 2 } , y = 5 + 4 x$ , for $x \geq 0$

• A) \(\frac { 875 } { 4 } \pi\)
• B) \(\frac { 875 } { 2 } \pi\)
• C) \(\frac { 875 } { 12 } \pi\)
• D) \(\frac { 875 } { 6 } \pi\)

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Definitions:

African Apes

A term referring to the group of primates native to Africa, including gorillas, chimpanzees, and bonobos.

Knuckle-Walking

A form of quadrupedal locomotion in which an animal walks on the knuckles of its forelimbs, typical of gorillas and chimpanzees, and considered an important aspect of hominid evolution.

Bipedalism

The ability to walk on two legs, a key feature distinguishing humans and their ancestors from most other mammals.

Lemurs

A diverse group of primates native to the island of Madagascar, known for their large eyes and nocturnal habits, with some species active during the day.