Radius of cylinder, R = 5 cm and height, H = 8 cm Radius of cone, r = 4 cm and height, h = 7 cm Water required to fill the cylinder completely = Volume of cylinder - Volume of cone = $$(pi R^2H)-(frac{1}{3} pi r^2h)$$ = $$(pi)(R^2H-frac{1}{3}r^2h)$$ = $$(frac{22}{7})[(5^2 imes 8)-(frac{1}{3} imes 4^2 imes 7)]$$ = $$(frac{22}{7})(200-frac{112}{3})$$ = $$frac{22}{7} imes frac{488}{3}$$ $$approx 511.24$$ $$cm^3$$ => Ans - (C)