Use the Shell Method to Find the Volume of the Solid

question 210

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the shaded region about the indicated line.
-About the line $y = 4$

• A) \(\frac { 64 } { 15 } \pi\)
• B) \(\frac { 16 } { 5 } \pi\)
• C) \(\frac { 32 } { 5 } \pi\)
• D) \(\frac { 224 } { 15 } \pi\)

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Definitions:

Ribosomes

Ribosomes are cellular structures that synthesize proteins from amino acids during the process of translation, found in both prokaryotic and eukaryotic cells.

Endoplasmic Reticulum

A network of membranous tubules within the cytoplasm of a cell, involved in the transport of materials.

Cell Theory

A fundamental biological principle stating that all living organisms are composed of cells, which are the basic unit of life.

Prokaryotic Cell

A simple, unicellular organism without a nucleus or other membrane-bound organelles, such as bacteria.