# Problem: Lignum vitae is a hard, durable, and extremely dense wood used to make ship bearings. A sphere of this wood with a diameter of 7.61 cm has a mass of 311 g.Will the sphere float or sink in chloroform? (The density of chloroform is 1.48 g/mL).

###### FREE Expert Solution

We’re being asked to determine if the sphere will float or sink in chloroform given that the density of chloroform 1.48 g/mL, and the mass of the sphere is 311 g and a diameter of 7.61 cm.

Recall that density is the ratio of the mass and volume of an object:

$\overline{){\mathbf{density}}{\mathbf{=}}\frac{\mathbf{mass}}{\mathbf{volume}}}$

Also, the volume of a sphere is given by:

$\overline{){\mathbf{V}}{\mathbf{=}}\frac{\mathbf{4}}{\mathbf{3}}{{\mathbf{\pi r}}}^{{\mathbf{3}}}}$

where r = radius. Recall that diameter = 2r.

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###### Problem Details

Lignum vitae is a hard, durable, and extremely dense wood used to make ship bearings. A sphere of this wood with a diameter of 7.61 cm has a mass of 311 g.

Will the sphere float or sink in chloroform? (The density of chloroform is 1.48 g/mL).