Find the Volume of the Solid Generated by Revolving the Region

question 36

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the x-axis.
- $y = x ^ { 2 } , y = 0 , x = 0 , x = 4$

• A) \(256 \pi\)
• B) \(\frac { 64 } { 3 } \pi\)
• C) \(64 \pi\)
• D) \(\frac { 1024 } { 5 } \pi\)

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Definitions:

Carbonic Acid

A weak acid that is formed in solution when carbon dioxide is dissolved in water, playing a vital role in the buffering system of the blood.

Acid Base

Refers to the concepts in chemistry dealing with the balance between acids and bases in a solution, affecting pH levels.

Carbonated Beverages

Drinks that contain dissolved carbon dioxide gas, creating bubbles and fizz when opened.

Golgi Apparatus

An organelle in cells responsible for sorting, modifying, and packaging proteins and lipids for delivery to targeted destinations.