For a party, three solid cheese balls with diameters of 2 inches, 4 inches, and 6 inches, respectively, were combined to form a single cheese ball. what was the approximate diameter, in inches, of the new cheese ball? (the volume of a sphere is 43πr3,

The first thing we must do for this case is to define the volume of a sphere.
 We have then:
 
 Where,
 r: sphere radio
 We look for the total volume of cheese balls.
 We have then:
 
 
 Then, Rewriting the left side of the equation we have: 
 
 Clearing the radio we have:
 
 
 
 
 Then, the diameter will be:
 
 
 The approximate diameter, in inches, of the new cheese ball is: