Concept explainers
Calculate ratio between the surface areas of penny and nickel
Answer to Problem 16PPS
Ratio between the surface areas of penny and nickel is 0.792
Explanation of Solution
Given:
Coin | Penny | Nickel |
Mass | 2.5g | 5 g |
Diameter | 19.05 mm | 21.21 mm |
Radius | 9.525 mm | 10.605 mm |
Thickness | 1.55mm | 1.95 mm |
Calculations:
Here, we have to calculate surface area of cylinder, as coins are in the shape of cylinder.
We know that, surface area of cylinder is calculated as,
Where, r is the radius of cylinder
h is the height of cylinder
First, we will calculate surface area of Penny,
Now, surface area of nickel is
Ratio of surface area of penny and Nickel are,
Conclusion:
Therefore, we are able to calculate ratio of surface areas of two different metals using simple formula.
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