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The shaded region is revolved around the
y-axis. Find the volume accurate to the nearest thousandth.

" Volume "=[?]

The shaded region is revolved around the $y$ -axis. Find the volume accurate to the nearest thousandth. $\newline$ $\text { Volume }=[?]$

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Understanding integers

Full solution

Q. The shaded region is revolved around the

y

-axis. Find the volume accurate to the nearest thousandth.

\newline

\text { Volume }=[?]

Identify Revolving Method: To find the volume of the solid formed by revolving the shaded region around the $y$ -axis, we can use the disk method or the washer method, depending on the shape of the shaded region. Since the problem doesn't provide the specific shape or function, we'll assume it's a simple geometric shape where the disk method can be applied.
Calculate Volume Formula: Let's say the shaded region is a rectangle with height $h$ and width $w$ . The volume $V$ of the solid formed by revolving this rectangle around the y-axis is given by the formula $V = \pi \cdot w^2 \cdot h$ , where $w$ is the radius of the resulting disk.
Obtain Measurements: We need the measurements for $w$ and $h$ to proceed, but since the problem doesn't provide them, we can't calculate the volume. Without these values, we can't complete the problem.

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