How many solid spheres with a diameter of 6 cm can be formed by melting a solid metal cylinder measuring 45 cm in height and 4 cm in diameter?

Explanation

To find the number of spheres, first calculate the volume of the cylinder using V = πr²h, where r = 2 cm and h = 45 cm. Then calculate the volume of one sphere using V = (4/3)πr³, where r = 3 cm. Divide the cylinder's volume by the volume of one sphere to get the number of spheres. The result is 5 spheres.