Find the Volume of the Solid Obtained When the Region $y = \sin x , 0 \leq x \leq \pi$

question 35

Multiple Choice

Find the volume of the solid obtained when the region bounded by the curve $y = \sin x , 0 \leq x \leq \pi$ and the x-axis is rotated about the x-axis.

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

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Definitions:

Major Organic Product

The primary chemical species formed in the highest yield during a chemical reaction involving organic compounds.

PCC

Pyridinium chlorochromate, a reagent used in organic chemistry for the oxidation of primary alcohols to aldehydes and secondary alcohols to ketones.

Mass Spectrum

A graph or data set representing the distribution of ions by mass in a sample, used to determine the molecular mass and composition of a compound.

Base Peak

In mass spectrometry, this is the highest peak in a mass spectrum, representing the most abundant ion.