Use the Shell Method to Find the Volume of the Solid

question 97

Multiple Choice

Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the y-axis.
- $$y = x ^ { 2 } - 3 , y = 2 x , x = 0 \text {, for } x \geq 0$$

• A) \(45 \pi\)
• B) \(\frac { 45 } { 4 } \pi\)
• C) \(\frac { 45 } { 2 } \pi\)
• D) \(18 \pi\)

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Definitions:

Herbivory

The act of eating plants or plant parts by animals, which can significantly influence plant population and community structure.

Parasitize

To live as a parasite in or on another organism, deriving nutrients at the host's expense without offering any beneficial return.

Diploid

Referring to cells that contain two complete sets of chromosomes, one from each parent, characteristic of the body's somatic cells.

Tetraploid

An organism or cell having four complete sets of chromosomes, a condition that can result from the doubling of chromosomal number.