The radii of the three balls are 6.8 and 10cm. Determine the radius of the ball, the volume of which

The radii of the three balls are 6.8 and 10cm. Determine the radius of the ball, the volume of which is equal to the sum of the volumes of these balls.

First, let’s determine what the volume of the ball will equal, whose radius, according to the condition of this task, is 6 centimeters:

4/3 * π * 6: 3 = 4π / 3 * 216.

Now we can determine what the volume of the ball is, where the radius is 8 centimeters:

4/3 * π * 8: 3 = 4π / 3 * 512.

Now we can determine what the volume of the ball is equal to, where the radius is 10 centimeters:

4/3 * π * 10: 3 = 4π / 3 * 1000.

Let’s find out what the total volume will be equal to:

4π / 3 * 216 + 4π / 3 * 512 * 4π / 3 * 1000 = 4π / 3 * 1728.

Find out the radius of the desired ball:

r ^ 3 = 4π / 3 * 1728: 4π / 3;

r = 12.

Answer: 12 cm.