Question

how many solid cylinder of radius 6 cm and height 12cm can be made by melting a solid sphere of radius 18 cm​

Answer 1

Sol: Height of the cylinder melt = 45 cm Diameter of the cylinder = 6 cm Radius = 3 cm Diameter of the sphere = 6 cm Radius = 3 cm Volume of the cylinder = 22/7 x 3 x 3 x 45 Volume of each sphere = 4/3 x 22/7 x 3 x 3 x 3 Let the number of spheres be 'n' Volume of all the spheres = Volume of the cylinder n x 4/3 x 22/7 x 3 x 3 x 3 = 22/7 x 3 x 3 x 45 n x 4/3 x  3 = 45 n = 45/4 n = 11 (approx.)