a solid metal cone with radius of base 12 cm and height 24 cm is melted to form spherical solid balls of diameter 6 cm each. Find the number of the balls thus formed​

32 solid balls are formed.

Step-by-step explanation:

Let suppose that volume of the cone is equal to the total volume of balls, of which we derive the following formula:

(1)

Where:

- Radius of the base of cone, measured in centimeters.

- Height of cone, measured in centimeters.

- Diameter of sphere, measured in centimeters.

- Number of balls, no unit.

Then, we clear the number of balls:

If we know that , and , then the number of balls is:

32 solid balls are formed.

1,645,493,059.35

step-by-step explanation: