• # question_answer A hemispherical bowl is filled with hot water to the brim. The contents of the bowl are transferred into a cylindrical vessel whose radius id 50% more than its height. If diameter of the bowl is the same as that of the vessel and the volume of the hot water in the cylindrical vessel is x% of the volume of the cylindrical vessel then x =? A)  90                               B)  100       C)  105                             D)  110

(b): If radius of the hemispherical bowl is ?r? then it's volume would be $\frac{2}{3}\pi {{r}^{3}}$ Radius of cylinder = r and height = 2r/3 Volume of cylinder $=\pi {{r}^{2}}.\frac{2}{3}r=\frac{2}{3}\pi {{r}^{3}}$ It means that the volume of the hot water in the cylindrical vessel is 100 % of the cylindrical vessel, Therefore x = 100