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To calculate the volume of a cone using the formula V = (1/3)Ï€r^2h, where r is the radius of the base and h is the height, we need to substitute the given values:
V = (1/3)Ï€(7)^2(12)
First, we can simplify the equation by performing the calculations inside the parentheses:
V = (1/3)Ï€(49)(12)
Next, we can multiply the numbers inside the parentheses:
V = (1/3)(49Ï€)(12)
V = (49/3)Ï€(12)
Now, we can multiply 49/3 with 12:
V = (588/3)Ï€
Finally, since the question doesn't specify that the answer needs to be exact or rounded to a specific decimal place, we can leave the answer in terms of π:
V ≈ (588/3)π cubic units (assuming π is approximately 3.14)
So, the volume of the cone is approximately (588/3)Ï€ cubic units.