1. A cylindrical vessel of height 5 cm and radius 4 cm is completely filled with sand. When this sand is poured out it forms a right circular cone of radius 6 cm. What will be the height of this cone? (Take π = 22/7)
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By: anil on 05 May 2019 02.15 am
Let height of cone = $$h$$ cm and radius, r = 6 cm Height of cylinder, H = 5 cm and Radius, R = 4 cm Volume of cylinder = Volume of cone => $$pi R^2 H = frac{1}{3} pi r^2 h$$ => $$(4)^2 imes 5 = frac{1}{3} imes (6)^2 imes h$$ => $$h = frac{16 imes 5 imes 3}{36} = frac{20}{3}$$ => $$h = 6.67$$ cm => Ans - (A)
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