Use the Shell Method to Find the Volume of the Solid

question 142

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.
- $$x = 6 y - y ^ { 2 } , x = 0$$

• A) \(36 \pi\)
• B) \(108 \pi\)
• C) \(432 \pi\)
• D) \(216 \pi\)

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Definitions:

Individualism

A social philosophy prioritizing the liberty of persons above the governance or regulation by communal or state powers.

Collectivism

The practice or principle of giving a group priority over each individual in it.

Interdependence

A reciprocal relation between interdependent entities (objects or individuals or groups) where they rely on each other to a significant extent.

Independence

The condition or quality of being free from dependence, control, or influence.