Han Zhi Yuan's answer to Hii's Secondary 2 Maths Singapore question.
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The volume of water completely filled the hemisphere of radius 44cm.
Volume of hemisphere is given by (2/3) * π * r^3.
Hence, volume of water = volume of hemisphere = (2/3) * 3.142 * (44)^3 = 178,432 cm^3 = 178.43 litres.
As 50 litres of water filled up the whole cylinder of radius 44cm, 50,000 cm^3 = Volume of cylinder.
Volume of cylinder is equal to base area of the cylinder multiplied by its vertical height.
Base area of cylinder = π * r^2 = 3.142 * (44)^2 = 6082.912cm^2
Hence the height of the cylinder = 50,000 / 6082.912 = 8.22cm.
Volume of hemisphere is given by (2/3) * π * r^3.
Hence, volume of water = volume of hemisphere = (2/3) * 3.142 * (44)^3 = 178,432 cm^3 = 178.43 litres.
As 50 litres of water filled up the whole cylinder of radius 44cm, 50,000 cm^3 = Volume of cylinder.
Volume of cylinder is equal to base area of the cylinder multiplied by its vertical height.
Base area of cylinder = π * r^2 = 3.142 * (44)^2 = 6082.912cm^2
Hence the height of the cylinder = 50,000 / 6082.912 = 8.22cm.
Date Posted:
3 years ago
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