General Chemistry

Question

A sphere of metal has a mass of 1139 g and a diameter of 7.70 cm. What is the density of metal in g/cm³? 

You measure the following dimensions of a rectangular metal block of metal A: length = 11.0 cm; width = 7.70 cm; height = 5.20 cm. It has a mass of 1139 g. What is the density of metal in g/cm³? 

You measure the following dimensions of a cylinder of metal: length = 11.0 cm, diameter = 7.70 cm. It has a mass of 1139 g. What is the density of metal in g/cm³? 

Answer 1

In order to work these problems you need to have the formulae's that is used to calculate the volume of the sphere, cylinder and a rectangular block respectively and the density

V_sphere = 4/3π r³ ; V_rect = LxWxH ; V_{cylinder =} π r²h ; D = Mass/Volume; (r= diameter/2)

Another thing is that the units given for the length has to be the same.

Looking at what you are given, the units are the same so it is just a matte of plugging in the values given and reporting the answer to the CORRECT # of significant figures.

The first question: V= 239 cm³; Density =4.77 g/cm³

Having given the above information you should be able to work the rest.

All the best!