12 spheres of the same size are made from melting a solid cylinder of 16 cm diameter and 2 cm height . find the diameter of each sphere .
"explanation : in this type of question , just equate the two volumes to get the answer as , volume of cylinder = π r 2 h volume of sphere = 43 π r 3 = > 12 ∗ 4 / 3 π r 3 = π r 2 h = > 12 ∗ 4 / 3 π r 3 = π ∗ 8 ∗ 8 ∗ 2 = > r 3 = 8 ∗ 8 ∗ 2 ∗ 3 / 12 ∗ 4 = > r 3 = 8 = > r = 2 cm = > diameter = 2 ∗ 2 = 4 cm option a"
multiply(divide(divide(divide(divide(multiply(divide(volume_cylinder(divide(16, const_2), 2), const_pi), const_3), const_4), 12), const_4), const_4), const_2)