Find the Volume of the Solid Generated by Revolving the Region

question 88

Multiple Choice

Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the $x$ -axis.
$y = 2 \sin x + 1 , x = 0 , y = 0 , x = \pi$

• A) \(\pi ^ { 2 } + 8 \pi\)
• B) \(\pi ^ { 2 } + 4 \pi\)
• C) \(3 \pi ^ { 2 } + 4 \pi\)
• D) \(3 \pi ^ { 2 } + 8 \pi\)

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Definitions:

Ecosystems

Complex networks of different organisms interacting with each other and their environment within a particular area.

Photosynthesizes

The act or process by which an organism that contains chlorophyll, such as a green plant, produces organic matter from carbon dioxide and water in the presence of sunlight.

Supergroup

In the context of biology, a high-level taxonomic category above the level of kingdom, used to classify life in a broad scale; or, in other contexts, a term for a highly successful musical collaboration.

Archaeplastida

A major group of eukaryotic organisms that includes red algae, green algae, and land plants, characterized by the presence of plastids with chlorophyll.