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Answer :
Final answer:
The volume of a cone with a diameter of 21 inches and a height of 11 inches, calculated using the formula V=1/3πr²h, is 3809.97 inches³.
Explanation:
To calculate the volume of a cone, you need to use the formula V = 1/3πr²h where r represents the radius of the base, and h represents the height of the cone. In this case, the diameter of the cone is given as 21 inches. The radius is half of the diameter, hence,
r = 21/2 = 10.5 inches.
The height, h, is given as 11 inches.
Substitute these values into the formula:
V = 1/3 * π * (10.5)² * 11
which equals to 3809.97 inches³. Thus, this is the volume of the cone, rounded to the nearest hundredth.
Learn more about volume here: brainly.com/question/29767724
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