Use the Shell Method to Find the Volume of the Solid

question 177

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.
- $$x = 8 y ^ { 2 } , x = 8 \sqrt [ 3 ] { y }$$

• A) \(\frac { 10 } { 7 } \pi\)
• B) \(\frac { 8 } { 3 } \pi\)
• C) \(\frac { 20 } { 7 } \pi\)
• D) \(12 \pi\)

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Definitions:

Onlooker Play

A stage of play where a child watches others play but does not engage directly, serving as a form of learning social cues and interactions.

Formal Play

Structured play activities that are governed by rules and often involve goals or objectives, contrasting with spontaneous or free play.

Associative Play

A stage of play primarily observed in young children, where they play in parallel to each other but engage in group activities, sharing and talking.

Prosocial Behavior

Behaviors that are intended to benefit others, including acts of kindness, helping, and generosity.