The Volume of the Solid Obtained by Rotating the Plane $y = x ^ { 4 } , y = 1 , \text { and } x = 0$

question 110

Multiple Choice

The volume of the solid obtained by rotating the plane region enclosed by $y = x ^ { 4 } , y = 1 , \text { and } x = 0$ about the y-axis is

• A) \(\pi\)
• B) \(\frac { 2 \pi } { 3 }\)
• C) \(\frac { \pi } { 2 }\)
• D)0
• E) \(\frac { \pi } { 3 }\)
• F) \(\frac { 4 \pi } { 3 }\)
• G) \(\frac { \pi } { 6 }\)
• H)1

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Definitions:

Ribosomes

Cellular structures made of RNA and proteins that function as the site of protein synthesis in the cytoplasm by translating mRNA into polypeptides.

Cell Wall

A rigid layer that lies outside the cell membrane in most bacteria, plants, algae, and fungi, providing support and protection.

Peptidoglycan

A complex polymer found in the cell walls of bacteria, providing structural strength and shape.

Crosslinked

A chemical bonding between different polymer chains, creating a more stable and complex molecular structure.