A vessel in the form of a hemispherical bowl is full of water. Its contents are emptied in a right circular cylinder. The internal radii of the bowl and the cylinder are 3.5 cm and 7 cm respectively. Find the height to which the water will rise in the cylinder.
Given that
Volume of water in the hemisphere bowl = Volume of water in the cylinder
Let n be the height to which water rises in the cylinder.
Inner radii of bowl = 3.5 cm = r1
Inner radii of bowl = 7 cm = r2
