A cylindrical bucket of diameter 28cm and height 20cm was full of sand when the sand in the bucket was poured on the ground the sand got converted into a shape of a cone if the height of the cone was 14cm what was the base area of the cone?
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Answer:
Given,
Diameter of Cylinder = 28 cm
Radius of Cylinder = d/2 = 28/2 cm = 14 cm
Height = 20 cm
=> Volume of Cylinder = Volume of Cone
=> πr^2h = 1/3 πr^2h
=> 22/7 x 14 x 14 x 20 = 1/3 x 22/7 x r^2 x 14
=> 12320 cm^3 = 14.6 r^2
=> r^2 = 12320/14.6
=> r = 29.04 cm
Now,
Base area of Cone = πr^2
=> Area = (22/7 x 29.04 x 29.04) cm^2
=> Area = 2650.43 cm^2
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