Question

A dispenser 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.

Answer 1

Ok First, what is the shape of the dispenser let's assume it's a cylinder. Now, what's the formula to get the volume of a cylinder?

Answer 2

Ok so Vcylinder=πr2h

now we are looking for the height.

let's rearrange this equation in terms of h.
dividing both sides by pi r squared...
you'll get

h=Vcylinderπr2

Answer 3

Next

Next, solve the value of h when

~the dispenser is full, Vcylinder=5652 cm3, r=7.5, π=3.14

and when

~the dispenser is not full Vcylinder=4239 cm3, r=7.5, π=3.14

Answer 4

Now

Lastly, after you find those values of h, subtract them.

Answer 5

Now

follow these steps and tell me what you get for each step and I'll check it later.

Answer 6

ok ill work it out real quick

Answer 7

Ok

Answer 8

Got it?

Answer 9

i dont think so i got 6738420.375