clutzrock
contestada

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)

Respuesta :

JavierCollante
to determine the density, we use the following formula:

[tex]density= \frac{mass}{volume} [/tex]

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.

[tex]Sphere_{volume}= \frac{4}{3} \pi r^{3} [/tex]

radius (r)= [tex] \frac{diameter}{2} [/tex]= [tex] \frac{8.0 mm}{2} = 4.0 mm[/tex]

let's plug in the values

V= [tex] \frac{4}{3} \pi 4^{3} = 268 mm^3[/tex]

we need to change the [tex]mm^3[/tex] to [tex]cm^3[/tex] using the following conversion

1 cm= 10 mm
[tex]268 mm^3 (\frac{1 cm}{10 mm} )^3 = 0.268 cm^3[/tex]

now we can find the density. 

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

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