Find the Volume of the Solid Generated by Revolving the Region

question 199

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
-y = - 7x + 14, y = 7x, x = 0

• A) \(14 \pi\)
• B) \(294 \pi\)
• C) \(98 \pi\)
• D) \(49 \pi\)

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Definitions:

Semipermeable

Describes a barrier or membrane that allows certain substances to pass through it while blocking others.

Cell Wall

A rigid layer outside the plasma membrane of the cells of plants, fungi, and some bacteria, providing structural support and protection.

Plasma Membrane

The lipid bilayer that surrounds a cell, controlling the movement of substances in and out of the cell.

Cytoplasm

The gel-like substance inside the cell membrane excluding the nucleus, containing organelles and is the site of most cellular activities.