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The density of a cylinder is 1.25g/cm^3 The cylinder has mass 0.5 kg and radius 3 cm. Work out the height of the cylinder.

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The density of a cylinder is 1.25g/cm^3
The cylinder has mass 0.5 kg and radius 3 cm.
Work out the height of the cylinder.

The density of a cylinder is 1.25g/cm^3 The cylinder has mass 0.5 kg and radius 3 cm. Work out the height of the cylinder.

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UptonExpert · Tutor for 3 years

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<p> 42 cm (approximately)</p

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<p> The density of an object is its mass divided by volume, represented by the equation 'Density = Mass/Volume'. Here, we need to calculate the height of the cylinder given its volume, which can be found using the formula for the volume of a cylinder 'V = πr^2h'. This needs to be rearrange to 'h = V/(πr^2)'. First, convert mass from kilograms to grams, as the units for mass and density should always match. Next, use the density equation 'Density = Mass/Volume' rearranged to 'V = Mass/Density' to calculate volume. Finally, substitute V into 'h = V/(πr^2)' equation to calculate h.</p>
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