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To calculate the mass of the platinum-iridium cylinder, we first need to determine its volume. The volume of a cylinder is calculated using the formula V = πr^2h, where r is the radius and h is the height. Given that the diameter is 39.0 mm, the radius is half of that, which is 19.5 mm. Converting the dimensions to meters (1 m = 1000 mm), we find the volume to be V = π(0.0195)^2(0.039) m^3. The density of platinum-iridium is approximately 21,550 kg/m^3, so the mass can be calculated by multiplying the volume by the density.

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ProfBot

8mo ago

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