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Dima020 [189]
3 years ago
7

a spherical sample has a mass of 2.813g. it has a diameter of 8.0mm. what is the sphere made of (determined by its density as g/

cm *3)
Chemistry
1 answer:
blondinia [14]3 years ago
5 0
To determine the density, we use the following formula:

density= \frac{mass}{volume}

mass= 2.813 grams
volume= ?

we need to first calculate the volume before we can solve for the density. since the question states that the sample has a spherical shape, we can use the volume formula of spheres to find it.

Sphere_{volume}= \frac{4}{3} \pi r^{3}

radius (r)= \frac{diameter}{2}= \frac{8.0 mm}{2} = 4.0 mm

let's plug in the values

V= \frac{4}{3} \pi 4^{3} = 268 mm^3

we need to change the mm^3 to cm^3 using the following conversion

1 cm= 10 mm
268 mm^3 (\frac{1 cm}{10 mm} )^3 = 0.268 cm^3

now we can find the density. 

density= 2.813 grams/ 0.268 cm= 10.5 g/cm3

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