A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere? Choose the correct answer: A) 5 cms B) 2 cms C) 3 cms D) 4 cms E) 6 cms
since the sphere is made out of the cylinder material their volume will be same   volume of cylinder = pi * 3^2 * 6   volume of one sphere = 4/3 * pi * r ^3 (where r is radius of sphere)   so if there are N such sphere's   equating the volumes,   pi*r^2*h = N*(4/3)*pi*R^3   N is the number of spheres,   substituting the, r and h   9*6 = N*(4/3)*(D/2)^3   D is the diameter of a sphere,   N = (9*6*3*8)/(4*D^3)   N = 324/D^3   now substitute the given answers for D and find the values for N, since a N has to be an integer only value fit for D is 3,   ANSWER:3 cms
<result>C</result>
A cylinder is 6 cms in diameter and 6 cms in height. If spheres of the same size are made from the material obtained, what is the diameter of each sphere?