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A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 9 inches. The height of the cone is 18 Inches.
Usen - 3.14
What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)

User Ehtesham
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1 Answer

25 votes
25 votes

Step-by-step explanation:

Formula For Cylinder: πr²h
Formula For Cone: πr²h/3

d = 2r, r = d/2

8/2 = 4. Both the cylinder and cone have a radius of 4 inches. Now let's plug that in for our equation.

Cylinder: 3.14 · 4²· 9
Cone: 3.14 · 4² · 18/3

Now let's simplfy

Cylinder: 452.16 in³
Cone: 301.44 in³

We can see that they both have a difference of 150.72

User Ioana Cucuruzan
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