Problem

2. (08.01 MC)
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round your answer to the nearest hundredth. (Hint: You may only enter numerals, decimal points, and negative signs in the answer blank) (1 point)

Answer

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Answer

Final Answer: The volume of the cylinder is approximately \(\boxed{603.19}\) cubic inches.

Steps

Step 1 :The volume of a cylinder is given by the formula \(V = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height.

Step 2 :In this case, the diameter is given as 8 inches, so the radius is half of that, or 4 inches.

Step 3 :The height is given as three times the radius, so the height is 12 inches.

Step 4 :We can substitute these values into the formula to find the volume.

Step 5 :Let \(r = 4\) and \(h = 12\).

Step 6 :Substitute \(r\) and \(h\) into the formula, we get \(V = 603.1857894892403\).

Step 7 :Rounding to the nearest hundredth, we get \(V = 603.19\).

Step 8 :Final Answer: The volume of the cylinder is approximately \(\boxed{603.19}\) cubic inches.

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