High School

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Find the volume. Round to the nearest hundredth if necessary.

A. 96.8 in³
B. 115.5 in³
C. 99.9 in³
D. 134.8 in³

Answer :

Final answer:

The student's question pertains to finding the volume, which involves using different mathematical formulas depending on the shape of the object and includes applying dimensional analysis and measuring techniques for accurate calculations.

Explanation:

The question from the student is asking to find the volume of an object, which is a mathematical concept related to the amount of space an object occupies. The volume can be calculated for various geometrical shapes using different formulas. For instance, the volume of a rectangular box is found by multiplying its length, width, and height. The volume of a cylinder follows the formula V = πr²h, where r is the radius and h is the height. And the volume of a sphere uses the formula V = ⅔πr³, where r is the radius.

When measuring the volume of liquids, one often uses a graduated cylinder, and it's important to read the volume at the bottom of the meniscus. If you're calculating the volume of containers or other solid objects using measurements with uncertainties, it's crucial to report the uncertainty of the calculated volume as well. Whenever you measure volume in different units, such as converting from inches to centimeters, dimensional analysis is useful to ensure the units are consistent within formulas and calculations.

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