Answer: Volume of 4π/3 x 6495kg/m³ x 0.026m³ in kg

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In summary, the formula for finding volume is length x width x height, and for a sphere it is 4π/3 x radius^3. The units of measurement for volume can vary, but for a sphere it is typically expressed in cubic meters (m³). To convert cubic meters to kilograms, we need to know the density of the object in kg/m³ and use the formula density x volume = mass. In this problem, the density is given as 6495 kg/m³. The final answer in kilograms is 168.87 kg, calculated by multiplying the volume of 0.026 cubic meters by the density of 6495 kg/m³.
  • #1
you_of_eh
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Express the answer with the correct units and to the correct number of significant digits:

4pi/3(6495 kg/m^3)(0.026m)^3

-I know that the units in the answer would be kg because the m^3's will cancel.
-It is the sig figs that are giving me trouble. (perhaps the "pi" is screwing me up)

Thanks
 
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  • #2
The "4" and the "3" seem to be integers and have unlimited significant figures, thereby not limiting the figures in the result. The 0.026 seems to have the fewest, therefore, TWO significant figures. Adjust your answer to two significant figures (AFTER performing your computation, not before).
 

FAQ: Answer: Volume of 4π/3 x 6495kg/m³ x 0.026m³ in kg

What is the formula for finding volume?

The formula for finding volume is length x width x height. In this case, we are dealing with a sphere, so the formula is 4π/3 x radius^3.

What are the units of measurement for volume?

The units of measurement for volume can vary depending on the shape of the object. In this case, we are dealing with a sphere, so the units are typically expressed in cubic meters (m³).

How do you convert cubic meters to kilograms?

Cubic meters and kilograms are units of measurement for different things and cannot be directly converted. However, if we know the density of the object in kg/m³, we can use the formula density x volume = mass to find the mass in kilograms.

What is the density of the object in this problem?

The density of the object is given as 6495 kg/m³ in the problem. This means that for every cubic meter of the object, it has a mass of 6495 kilograms.

What is the final answer in kilograms?

The final answer in kilograms is 6495 x 0.026 = 168.87 kg. This is the mass of the object with a volume of 0.026 cubic meters and a density of 6495 kg/m³.

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