Consider the 3-Sided Region Bounded By $x=0$ $y=4$ And $y=\sqrt{x}$ What Is the Exact Volume of the Solid Obtained When

question 100

Multiple Choice

Consider the 3-sided region bounded by $x=0$ , $y=4$ and $y=\sqrt{x}$ .What is the exact volume of the solid obtained when this region is rotated around the x-axis?

• A) \(128 \pi\)
• B) \(8 \pi\)
• C) \(128\)
• D) \(8\)

---

Definitions:

Intrinsic Motivation

is the internal drive to perform an activity for its own sake, deriving pleasure and satisfaction from the activity itself rather than external rewards.

Extrinsic Motivation

Motivation driven by external rewards such as money, fame, grades, or praise, rather than for the inherent enjoyment of the activity itself.

Emotional Regulation

The skill of handling and reacting to feelings in a constructive and beneficial way.

Emotional Regulation

The ability to manage and respond to an emotional experience in a healthy and productive manner.