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The volume of this cone is 3,692.64 cubic centimeters. What is the radius of this cone?

Use π ~ 3.14 and round your answer to the nearest hundredth.
A. 13.20 cm
B. 19.64 cm
C. 17.58 cm
D. 21.45 cm

User Sajad
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1 Answer

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Final answer:

To find the radius of a cone using the volume and the approximation π ≈ 3.14, one needs the formula V = ⅓πr²h. Without the height of the cone given, solving for the radius is not possible with only the volume provided.

Step-by-step explanation:

The question asks us to determine the radius of a cone given its volume, using the approximation of π (pi) as 3.14. The formula for the volume of a cone is V = ⅓πr²h, where V is the volume, r is the radius, and h is the height of the cone. By having the volume and knowing that π is approximately 3.14, we can solve for the radius.

In this case, we are not provided with the height of the cone, which is needed to use the formula directly. Therefore, the problem likely expects the student to either know the height, use a standard cone height-to-radius ratio, or understand that this is a theoretical question that requires an algebraic solution involving variable substitution for h.

Without knowing the height, this problem can't be solved with just the information provided. However, if this was a textbook question, it's possible that the height was given in an earlier part of the question or that example proportions are to be used to solve it.

User Etarhan
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