1. A cylindrical vessel of height 9 cm and radius 7 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 10 cm what will be the height of this cone?
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By: anil on 05 May 2019 02.13 am
Let height of cone = $$h$$ cm and radius, r = 10 cm Height of cylinder, H = 9 cm and Radius, R = 7 cm Volume of cylinder = Volume of cone => $$pi R^2 H = frac{1}{3} pi r^2 h$$ => $$(7)^2 imes 9 = frac{1}{3} imes (10)^2 imes h$$ => $$h = frac{49 imes 9 imes 3}{100} = frac{1323}{100}$$ => $$h = 13.23$$ cm
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