Acylinder shaped dispenser holds 5,652 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 4,239 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 

Hope it helps! :D

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950