Use the Shell Method to Find the Volume of the Solid

question 172

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 x-axis.
-y = 3x, y = 6x, y = 3

• A) \(\frac { 9 } { 2 } \pi\)
• B) \(9 \pi\)
• C) \(3 \pi\)
• D) \(\frac { 3 } { 2 } \pi\)

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Definitions:

Neonate

Newborn individual.

Amniotic Fluid

The protective liquid contained within the amniotic sac that surrounds and cushions the fetus during pregnancy.

Carbon Dioxide

This odorless, color-free gas is produced during the combustion of organic compounds and carbon, as well as through respiration, and it's consumed by plants in their photosynthesis process.

Chorion

The outermost membrane surrounding an embryo in mammals, birds, and reptiles, contributing to the formation of the placenta in mammals.