Find a Such That the Volume Inside the Hemisphere $z = \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } \text { and outside }$

question 23

Multiple Choice

Find a such that the volume inside the hemisphere $z = \sqrt { 100 - x ^ { 2 } - y ^ { 2 } } \text { and outside }$ the cylinder $x ^ { 2 } + y ^ { 2 } = a ^ { 2 }$ is one-half the volume of the hemisphere. Round your answer to four decimal places.

• A) \(a = 12.1662\)
• B) \(a = 9.0831\)
• C) \(a = 33.0831\)
• D) \(a = 26.0831\)
• E) \(a = 6.0831\)

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Definitions:

Probability Distribution

A statistical description encompassing all the potential values and their associated chances that a random variable could have within a certain range.

Rolling Two Dice

An activity involving the simultaneous casting of two dice, used in probability studies to illustrate outcomes and calculate odds of specific events.

Colorado Rockies

A professional baseball team based in Denver, Colorado, part of Major League Baseball's National League West division.