Question

A cylinder 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.

Answer 1

Here, Just need to apply the formula of "Volume of Cylinder"
We know, Volume of a Cylinder = πr²h

In 1st condition (when dispenser is full),
5652 = 3.14 * 7.5² * h₁
5652 = 176.625 * h₁
h₁ = 5652/176.625
h₁ = 32 cm

Now, In 2nd Condition (when dispenser is not fulled),
4239 = 3.14 * 7.5² * h₂
4239 = 176.625 * h₂
h₂ = 4239 / 176.625
h₂ = 24 cm

Now, Difference = h₁ - h₂
Δh = 32 - 24 = 8 cm

In short, Your Final Answer would be 8 cm

Hope this helps!