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What’s the correct one? I have no idea please help

What’s the correct one? I have no idea please help-example-1
User Reustonium
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1 Answer

11 votes

Answer:

22π cm³

Explanation:

Let's start with the formulas for volume:

volume of cylinder = πr²h

volume of cone = (1/3)πr²h

Notice the formulas above for the volume of a cylinder and the volume of a cone. The only difference is that the volume of the cone has the fraction 1/3 multiplying the rest, and the rest is exactly the same as in the volume of the cylinder.

That means that if a cylinder and a cone have the same radius and height, the volume of the cone is 1/3 the volume of the cylinder.

Here, the cylinder and cone do have the same radius and height. That means the volume of the cone is 1/3 the volume of the cylinder.

The volume of the cylinder is 66π cm³.

The volume of the cone is 1/3 of that volume, so divide 66π cm³ by 3 to find it.

volume of cone = 66π cm³ / 3 = 22π cm³

Answer: 22π cm³

User OderWat
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