Armin is making cake pops. He has enough chocolate to cover 750 cm^2 . 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.(1 point)
The formula to find the surface area of a sphere (which a cake pop closely resembles) is:
Surface Area = 4πr^2
Given that the diameter of the cake pop is 3 cm, the radius (r) would be half of that, which is 1.5 cm.
Plugging in the values:
Surface Area = 4 * 3.14 * 1.5^2
Surface Area = 4 * 3.14 * 2.25
Surface Area = 4 * 7.065
Surface Area = 28.26 cm^2
Now, divide the total area of chocolate Armin has (750 cm^2) by the surface area of one cake pop (28.26 cm^2):
Number of cake pops = 750 cm^2 / 28.26 cm^2 ≈ 26.53
Therefore, Armin can cover approximately 26 cake pops in chocolate.