Question : A thousand solid metallic spheres of 6 cm diameter each are melted and recast into a new solid sphere. The diameter of the new sphere (in cm) is:

Option 1: 30

Option 2: 90

Option 3: 45

Option 4: 60

Question : The radius of a cylinder is 10 cm and the height is 4 cm. The number of centimeters that may be added either to the radius or to the height to get the same increase in the volume of the cylinder is:

Option 1: 5 cm

Option 2: 4 cm

Option 3: 25 cm

Option 4: 16 cm

Question : The number of lead balls, each 3 cm in diameter, that can be made from a solid lead sphere of diameter 42 cm is:

Option 1: 2744

Option 2: 4722

Option 3: 7244

Option 4: 2742

Question : From a solid right circular cylinder of length 4 cm and diameter 6 cm, a conical cavity of the same height and base is hollowed out. The whole surface of the remaining solid (in square cm) is:

Option 1: 48$\pi$

Option 2: 15$\pi$

Option 3: 63$\pi$

Option 4: 24$\pi$

Question : A solid cone of height 36 cm and radius of base 9 cm is melted to form a solid cylinder of radius 9 cm and height 9 cm. What percentage of the material is wasted in this process?

Option 1: 25

Option 2: 0

Option 3: 5

Option 4: 10