A hemispherical bowl is filled to the brim with a beverage. The contents of a bowl are transferred into a cylindrical vessel whose radius is 50% more than its height. If the diameter is same for both bowl and cylinder, then the volume of the beverage in the, cylindrical vessel will be

Let the common radius be r. Volume of a hemisphere = (2/3)πr^3. The cylinder’s radius equals r and “radius is 50% more than its height” means r = 1.5·h, so h = (2/3)r. Cylinder volume = πr^2h = πr^2·(2/3)r = (2/3)πr^3. Hence the hemisphere and the cylinder have equal volumes, so the entire contents of the hemisphere exactly fill the cylindrical vessel — 100% of the juice is transferred. This conclusion matches the worked solution presented in the given source.