To find: The height of storage bin.
The height of storage bin is 18 ft.
A storage bin made from a cylindrical section surmounted by a conical tin roof. Height of roof is one-third of the storage bin.
The total volume of structure is and radius is .
Formula used: Volume of cone and volume of cylinder
Let the height of storage bin be h.
Tabulate the given information into the language of algebra.
|In words||In algebra|
|Height of storage bin||h|
|Height of conical tin roof|
|Height of cylindrical section|
Model the equation for the above information.
Simplify the above equation.
Further simplify the above equation.
Thus, the height of storage bin is 18 ft.
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