Adispenser holds 5652 cm3 of liquid soap and is now full. the radius of the dispenser is 7.5 cm. what is the difference between the height of the soap in the full dispenser and the height when 4239 cm3 of soap remains in the dispenser? use 3.14 to approximate pi.

30cm is the difference between the height of the soap in the full dispenser and height of the remaining soap. 

The formula for cylindrical height is: 

  Area
       -  r
2 * π * r

Cylindrical height of full dispenser.

      5652                            5652
  - 7.5    =    - 7.5  =  120 - 7.5 = 112.50
2 * 3.14 * 7.5                     47.1

Cylindrical height of dispenser with lesser liquid soap 
     
     4239                       4239
 - 7.5 =    - 7.5 = 90 - 7.5 = 82.50
2 * 3.14 * 7.5                47.1

Cylindrical height of full soap                112.50
Cylindrical height of lesser soap           - 82.50 
Difference in height of soap content       30.00