A coin has a radius of 1.121.12 cm and a thickness of 1.71.7 mm. Find its volume in m3
Question
A coin has a radius of 1.121.12 cm and a thickness of 1.71.7 mm. Find its volume in m3
Solution
To find the volume of the coin, we can use the formula for the volume of a cylinder, which is V = πr²h, where r is the radius and h is the height (or thickness in this case).
Step 1: Convert the radius from cm to m, because the final volume needs to be in m³. 1 cm = 0.01 m, so 1.12 cm = 1.12 * 0.01 = 0.0112 m.
Step 2: Convert the thickness from mm to m. 1 mm = 0.001 m, so 1.7 mm = 1.7 * 0.001 = 0.0017 m.
Step 3: Substitute the radius and height into the volume formula. V = π * (0.0112 m)² * 0.0017 m.
Step 4: Calculate the volume. V = π * 0.00012544 m² * 0.0017 m = 0.000000672 m³.
So, the volume of the coin is 0.000000672 m³.
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