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Answer :
The volume of the cylinder is based on the formula: Volume = base * height where base is the circular shapebase area is equal to pi r^2. radius in this case is 3 inches and height is 6 inches. Hence the volume is pi * 3^2 *6 or equal to 54 pi. The answer to this problem is C. 54 pi in3.
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Final answer:
Without the radius and height of the cylinder, we cannot calculate the exact volume and determine if it matches with options A, B, C, or D. The provided formula with example values does not correspond to the multiple-choice answers provided, suggesting a possible typo or that more information is needed.
Explanation:
The volume of a cylinder is calculated using the formula V = πr²h, where 'V' denotes volume, 'r' is the radius of the cylinder, and 'h' is the height of the cylinder. To find the exact volume of the cylinder, we need the values of both the radius and the height. The question does not provide these values, so we cannot calculate the exact volume from the given options (A, B, C, D). However, if you can provide the radius and the height of the cylinder, the correct volume can then be determined using the mentioned formula. If we assume the provided formula with values V = 3.142 × (0.750 cm)² × 5.25 cm = 9.278 cm³ is related to the question and the cylinder's dimensions, the volume would be 9.278 cm³, but this does not match any of the answer choices, indicating perhaps a typo or a need for additional information.
