Final answer:
The mass of the cylinder is calculated by first determining its volume using the formula V = πr²h, and then multiplying the volume by the density, which is 3.1 g/cm³.
Step-by-step explanation:
The mass of the solid cylinder can be found by first calculating the volume and then multiplying it by the density of the material. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height (or length) of the cylinder. The radius is given as a cm and the height as b cm. Thus the volume V can be expressed as V = πa²b.
Once the volume is known, it is multiplied by the density to find the mass. The density of the cylinder is given as 3.1 g/cm³. Therefore, the mass m of the cylinder can be calculated using the formula m = density × volume or m = 3.1 g/cm³ × πa²b.