Answer:
The volume of a cone is 1/3 of the volume of the cylinder.
Explanation:
The formula for a cylinder is:
V = bh
For a cone:
V = 1/3(bh)
If the radius of both are the same, then the area of the base is the same. The height is also constant, therefore:
The volume of a cone is 1/3 the volume of the cylinder.
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Example to prove:
Given, radius 2 and height 15:
Cylinder: V = bh (b = πr²)
V = 4π × 15
V = 60π u³
Cone: V = 1/3 (bh)
V = 1/3 (4π × 15)
V = 20π u³