The number of nickels coins that are needed to made a stack of 100 inches tall is [tex]\boxed{1299}.[/tex]
Further explanation:
Given:
The stack of nickels is 100 inches tall.
Explanation:
[tex]\boxed{1{\text{ dime}} = \$ 0.10}.[/tex]
[tex]\boxed{1{\text{ dime}} = \$ 0.10}.[/tex]
[tex]\boxed{1{\text{ quarter}} = \$ 0.25}.[/tex]
A nickel is 5 cents.
The nickel is a cylindrical shape coin.
The thickness or height of the nickel coin is [tex]0.077{\text{ inch}}.[/tex]
The diameter of the nickel coin is [tex]0.835{\text{ inch}}.[/tex]
The radius of the nickel coin can be obtained as follows,
[tex]\begin{aligned}{\text{Radius}} &= \frac{{0.835}}{2}\\&= 0.4175{\text{ inches}} \\\end{aligned}[/tex]
The number of nickels coins that are needed to made a stack of 100 inches tall can be obtained as follows,
[tex]\begin{aligned}{\text{Number of coins}} \times {\text{thickness of coin}} &= 100{\text{ inches}} \\n\times 0.077 &= 100\\n&= \frac{{100}}{{0.077}} \\n&= 1298.70\\n &= 1299\left( {{\text{approximately}}} \right) \\\end{aligned}[/tex]
The number of nickels coins that are needed to made a stack of 100 inches tall is [tex]\boxed{1299}.[/tex]
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Polynomial
Keywords: nickels, dimes, quarters, coin, number of quarters, stack, 100 inches tall, thickness.
