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.) 

🤓 Based on our data, we think this question is relevant for Professor Poniatowski's class at UMICH.

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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:


density=massvolume


Also, the volume of a sphere is given by:


V=43πr3


where: 

r = radius. Recall that diameter = 2r.


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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 concept. You can view video lessons to learn Density. Or if you need more Density practice, you can also practice Density practice problems.

What professor is this problem relevant for?

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

What textbook is this problem found in?

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.