Question

A right circular cylinder is measured to have a mass of 1178.0 +/- 0.1 g, a diameter of 2.50 +/- 0.01 cm and a height of 30.48 +/- 0.01 cm.

a. Look up the volume equation for a right circular cylinder. Remember that a radius is 1/2 the diameter.

b. The density is mass divided by volume. Find the density using significant figures rules.

c. Find the density with error bars using the max/min method.

d. Using a table of densities, find the material assuming it is a common, pure metallic element.

Answer 1

Sol: Here mass    
Diameter  
Height

(a) Here equation of volume of a right circular cylinder is given as-

or

(b) Here density is given as-

(c) Here maximum density is given as-

and minimum density is given as-

Now maximum possible error is given as-

Hence

(d) Now from table we know that density of iron is 7.874 g/cc Hence the given material is iron.