Aconical container can hold 120π cubic centimeters of water. the diameter of the base of the container is 12 centimeters. the height of the container is centimeters. if its diameter and height were both doubled, the container's capacity would be its original capacity.

The height of the container is 10 centimeters. If its diameter and height were both doubled, the container's capacity would be 8 times its original capacity.

Step-by-step explanation:

The volume of a cone can be calculated with this formula:

Where "r" is the radius and "h" is the height.

We know that the radius is half the diameter. Then:

We know the volume and the radius of the conical container, then we can find "h":

The diameter and height doubled are:

Now the radius is:

And the container capacity is

Then, to compare the capacities, we can divide this new capacity by the original:

Therefore,  the container's capacity would be 8 times its original capacity.

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step-by-step explanation: