Solve for the Specified Variable $\mathrm { M } = \pi \mathrm { r } ^ { 2 } \mathrm { hd }$

question 58

Multiple Choice

Solve for the specified variable. Assume that all other variables are nonzero
- $\mathrm { M } = \pi \mathrm { r } ^ { 2 } \mathrm { hd }$ ; for $\mathrm { r }$

• A) \(\mathrm { r } = \frac { \pm \sqrt { \mathrm { M } \pi h d } } { \pi \mathrm { hd } }\)
• B) \(r = \frac { \pm \sqrt { \pi \mathrm { Mhd } } } { \text { hd } }\)
• C) \(r = \frac { \pm M \sqrt { \pi h d } } { \pi h d }\)
• D) \(r = \pm \sqrt { \pi M h d }\)

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Definitions:

Propanoic Acid

A naturally occurring carboxylic acid with the formula C3H6O2, commonly used as a food preservative.

Valeric Acid

An organic compound with the formula C5H10O2, known for its unpleasant odor, used in the synthesis of esters for fragrance or flavoring.

Butanoic Acid

An organic compound with the formula C4H8O2, known for its unpleasant smell and used in manufacturing various esters.

Line Structure

A simplified representation of a chemical structure, showing the arrangement of atoms and bonds in a molecule using lines.