1. A cylindrical vessel of height 7 cm and radius 5 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 8 cm what will be the height of this cone?
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- By: anil on 05 May 2019 02.12 amLet height of cone = $$h$$ cm and radius, r = 8 cm Height of cylinder, H = 7 cm and Radius, R = 5 cm Volume of cylinder = Volume of cone => $$pi R^2 H = frac{1}{3} pi r^2 h$$ => $$(5)^2 imes 7 = frac{1}{3} imes (8)^2 imes h$$ => $$h = frac{25 imes 7 imes 3}{64} = frac{525}{64}$$ => $$h = 8.2$$ cm
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