Armin is making cake pops. He has enough chocolate to cover 750 cm². If a cake pop has a diameter of 3 cm, how many cake pops can he cover in chocolate? Use 3.14 as the value of pi
First, we need to calculate the surface area of one cake pop.
The formula for the surface area of a sphere is:
A = 4πr²
Given that the diameter of the cake pop is 3 cm, the radius (r) is half of that, so r = 3/2 = 1.5 cm.
Now we can plug in the values and calculate the surface area of one cake pop:
A = 4 * 3.14 * (1.5)²
A = 4 * 3.14 * 2.25
A = 4 * 7.065
A = 28.26 cm²
Now we can divide the total chocolate surface area by the surface area of one cake pop to find out how many cake pops can be covered:
750 cm² / 28.26 cm² ≈ 26.53
Armin can cover approximately 26 cake pops in chocolate.