What's the approximate mass ofbthe paperweight?

Question

A solid cone-shaped lead crystal paperweight has a height of 5 centimeters and a base diameter that's 20% larger than the height. If the density of lead crystal us 3.1 g/cm^3, what's the approximate mass if the paperweight? Round to the nearest gram.

Answer 1

First you need the correct equation to determine the mass: Volume=mass/density.

 

You're given the density, but you have to determine the volume.  

 

The equation for the volume of a cone is 1/3πr²h. We're given the height, but have to determine the radius.

 

The radius is 1/2 of the diameter, which is 20% of the height. So radius=1/2*5*.2