Question
nine solid metal spheres, each of radius 2 cm, are dropped into a cylinder partly filled with water. If the spheres are totally immersed, find the rise in the water if the radius of the cylinder is 3cm
Answers
Reiny
volume of one ball = (4/3)π(2^3) = 32π/3 cm^3
so 9 of them have a volume of 288π cm^3
volume of water in cylinder = πhr^2
9πh = 288π
h = 288/9 cm or 32 cm
the water will rise 32 cm
so 9 of them have a volume of 288π cm^3
volume of water in cylinder = πhr^2
9πh = 288π
h = 288/9 cm or 32 cm
the water will rise 32 cm