Final answer:
The mass of the game piece can be calculated using the formula: Mass = Volume x Density. Given the density of the game piece (9.2g/cm^3), we can calculate the mass by finding the volume of the cone. Once we know the values of radius and height, we can substitute them into the formulas to find the volume and then the mass of the game piece.
Step-by-step explanation:
The mass of the game piece can be calculated using the formula:
Mass = Volume x Density
Since the game piece is cone-shaped, its volume can be calculated using the formula for the volume of a cone:
Volume = (1/3) x pi x r^2 x h
Given that the density of the game piece is 9.2g/cm^3, we can substitute the values into the formulas to calculate the mass:
Radius = half the diameter of the base of the cone
Height = height of the cone
Once we know the values of radius and height, we can substitute them into the formulas to find the volume and then the mass of the game piece.