Question

The average shot piece is a cylinder with a diameter of 7.5 mm, a height of 2.0 mm, and a mass of .40 g. The average zinc granule is a sphere with a diameter of .84 mm. Using these formulas calculate the total surface area for .40 g of each form of zinc.

Surface are of a cylinder= 2(pi)r2 +2(pi)rh Volume of a sphere = 4/3(pi)r3
Surface area of a sphere= 4(pi)r2 Volume of a cylinder= (pi)r2h
Density of zinc= 7.141g/ml

Answer 1

The surface area of a shot piece of zinc would be 4.01 cm2, while the surface area of a zinc granule would be 0.30 cm2. To calculate the surface area of a cylinder, you would use the formula 2(pi)r2 + 2(pi)rh, where r is the radius of the cylinder and h is its height. For a shot piece of zinc, with a diameter of 7.5 mm and a height of 2.0 mm, the radius is 3.75 mm and the surface area is 4.01 cm2. For a zinc granule, with a diameter of .84 mm, the radius is .42 mm and the surface area is 0.30 cm2.