Which of the following can NOT be determined given information about the diameter of John's circular garden?

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The volume of the dirt in the garden cannot be determined solely based on the diameter of the circular garden. The diameter provides information about the shape and size of the garden in a two-dimensional context, allowing for calculations related to area and perimeters. However, to calculate volume, additional information is needed, such as the depth of the garden or the height of the dirt. Without knowing how deep the dirt is, one cannot ascertain the total volume, as volume is a three-dimensional measurement.

In contrast, the area of John's garden can be derived from the diameter using the formula for the area of a circle, which involves the radius (half of the diameter). The feet of fence required can also be determined from the diameter by calculating the circumference, which is the distance around the garden. The area of the tomato patch may vary independently of the overall garden size, but it still remains measurable as long as its dimensions are known. Thus, only the volume of the dirt is indeterminate without additional information.

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