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A cylinder shaped dispenser holds 5,652 cubic centimeters of liquid soap and is now full. The radius of the dispenser is 7.5 centimeters. What is the difference between the height of the soap in the full dispenser and the height when 4,239 cubic centimeters of soap remains in the dispenser? Use 3.14 for pi. Enter your answer in the box. Its 8cm i got the awncer its right gl kids!

Respuesta :

calculista
we know that

[volume of cylinder]=pi*r²*h------------> h=[volume of cylinder]/(pi*r²)
Volume=5652 cm³
r=7.5 cm
so
 h=[5652]/(3.14*7.5²)-----------> h=32 cm

the height of the soap in the full dispenser is 32 cm

the height when 4,239 cubic centimeters of soap remains in the dispenser is
h=[4239]/(3.14*7.5²)-----------> h=24 cm

hence

the difference is 32-24--------> 8 cm

the answer is
8 cm

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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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