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A cylinder shaped dispenser holds 5652 cm to the third of liquid soap and is now full of the radius of the dispenser is 7.5 cm what is the difference between the height of the soap in the dispenser of the height when 4239 centimeters to the third of the soap remains in the dispenser

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The answer is 8 for everyone that need help :P

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Answer:

8 cm

Step-by-step explanation:

We know, Volume of a Cylinder = πr²h

when dispenser is full

5652 = 3.14 * 7.5² * h₁

5652 = 176.625 * h₁

h₁ = 5652/176.625

h₁ = 32 cm

when dispenser is not fulled

4239 = 3.14 * 7.5² * h₂

4239 = 176.625 * h₂

h₂ = 4239 / 176.625

h₂ = 24 cm

Now, to find the Difference = h₁ - h₂

Δh = 32 - 24 = 8 cm

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