A bucket is in the form of a cone and holds 28.490 litres of water. The radii of the top and bottom are 28cm and 21cm respectively. Find the height of the bucket.
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Answer:577.9cm
Step-by-step explanation:
so you will first change 28.490litres to cubic metres since 1cubic metre=1000litres which means that you will divide 28.490 by 1000 to get 0.02849cubic metres then you change it to cubic centimetres where 1cubic metre=1000000cubic centimetres so you multiply by 0.02849cubic metres to get 28490cubic centimetres from there on do this:
28490cubic centimetres=1/3*22/7*28*28*h(where h is the height)
28490=49.3h
you divide both sides by 49.3 to get 577.9cm
NB:formula for a cone is 1/3*22/7*r^2*h
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