Answer:
D. a cylinder with a height that is double the height of the original mold, and a radius that is the same as the radius of the original mold
Explanation:
You want to know possible changes to radius and height that will double the volume of a cylinder.
Volume
The volume of a cylinder is given by the formula ...
V = πr²h
This tells you the volume is proportional to the height, and proportional to the square of the radius.
Double volume
This proportionality tells you that the volume can be doubled by ...
- using the same height, and doubling the square of the radius
- using the same radius, and doubling the height.
We note that doubling the radius will multiply the square of the radius by 4:
R = 2r
R² = (2r)² = 4(r²)
The second option above (double height only) matches choice D.
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