Question
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.
Answer
4.6
(263 Votes)
Upton
Expert · Tutor for 3 years
Answer
42 cm (approximately)</p
Explanation
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.