A Solid Has a Circular Base of Radius 1 $\frac { \pi } { 2 }$

question 7

Multiple Choice

A solid has a circular base of radius 1. Parallel cross-sections perpendicular to the base are equilateral triangles. Find the volume of the solid.

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

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Definitions:

Carcinogens

Substances or exposures that are directly involved in causing cancer.

Aldehydes

A class of organic compounds obtained from alcohol by oxidation and also found in cigarette smoke; they cause mutations and are related to the development of cancer.

Tars

Complex chemical substances resulting from the burning or combustion of organic material, often associated with smoking.

Stimulant

Substances that increase physiological or nervous activity in the body, often enhancing alertness, attention, and energy.