Question

The volume of a cone is 27 cm3. What is the volume of a cylinder that shares the same radius and height as the cone?

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Answer 1

81 cm³

Explanation:

V-cylinder = πr²h

V-cone = πr²h/3

You can see from the formulas that the volume of a cone is 1/3 the volume of a cylinder with the same radius (r) and height (h).

Therefore:

πr²h/3 = 27

πr²h = 27(3) = 81 = volume of the cylinder

Answer 2

81 cm3

Explanation:

The volume of a cylinder is three times that of a cone, as long as it has the same radius and height. Their formulas prove it.

Hope this helps