# Problem: A spherical ball of lead has a diameter of 5.0 cm. What is the mass of the sphere if lead has a density of 11.34 g/cm3? (The volume of a sphere is (4/3)πr3, where r is the radius.)

###### FREE Expert Solution
95% (353 ratings)
###### FREE Expert Solution

We’re being asked to determine the mass of a sphere of lead (Pb) given that it has a diameter of 5.0 cm and a density of 11.34 g/cm3.

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.

95% (353 ratings) ###### Problem Details

A spherical ball of lead has a diameter of 5.0 cm. What is the mass of the sphere if lead has a density of 11.34 g/cm3? (The volume of a sphere is (4/3)πr3, where r is the radius.)

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What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Density of Geometric Objects concept. You can view video lessons to learn Density of Geometric Objects. Or if you need more Density of Geometric Objects practice, you can also practice Density of Geometric Objects practice problems.

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Based on our data, we think this problem is relevant for Professor Wolfgang's class at WKU.

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Our data indicates that this problem or a close variation was asked in Chemistry: The Central Science - Brown 11th Edition. You can also practice Chemistry: The Central Science - Brown 11th Edition practice problems.