Use the Method of Cylindrical Shells to Find the Volume $y = x ^ { 2 } , y = 0 , x = 3$

question 149

Essay

Use the method of cylindrical shells to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated axis. Sketch the region and a representative rectangle.
$y = x ^ { 2 } , y = 0 , x = 3$ ; the $y$ -axis

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Definitions:

Down Syndrome

A genetic disorder caused by the presence of an extra chromosome 21, characterized by physical growth delays, characteristic facial features, and intellectual disability.

21st Pair of Chromosomes

One of the 23 pairs of chromosomes in humans, with abnormalities in this pair linked to genetic disorders such as Down syndrome.

Double Helix

The structure formed by double-stranded molecules of nucleic acids such as DNA, characterized by its spiraling ladder shape.

Carrier

A person who carries and transmits characteristics but does not exhibit them.