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A student is trying to calculate the density of a can. He already knows the mass, but he needs to determine the volume as well. Which of the following formulas can be used to calculate the volume of the can?

User Tuespetre
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2 Answers

7 votes

Final answer:

To calculate the density of a can, the student must first determine its volume, which can be done using the formula for the volume of a cylinder V = πr²h or through displacement methods. Once the volume is known, density is calculated by dividing the mass by the volume.

Step-by-step explanation:

To calculate the density of a can, the student needs to determine its volume. The volume of a cylindrical can be calculated using the formula for the volume of a cylinder, which is π (pi) times the radius squared times the height (V = πr²h). The student already knows the mass of the can, so once the volume is calculated, density can be found by dividing the mass by the volume

The formula provided (D = m/V) can also be transformed to solve for volume, providing another formula: Volume (V) = Mass (m) divided by Density (D).

In cases where the volume needs to be found through displacement, the formula V = m/p (where p is the density) is used, such as determining the volume of a coin by the water displacement method.

User Slaesh
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4 votes
Since Density= Mass/Volume (D=M/V)
Volume= Mass/Density(V=M/D)
User R Yoda
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