Connor wants to use the Fermi process to estimate the number of oranges that would fill his kitchen. As part of the process, he needs to estimate the volume of a typical orange. The diameter of an orange is about 3 in.

Which estimate best approximates the volume of the orange?

1*10^0 in³

1*10^1 in³

1*10^2 in³

1*10^3 in³

Given:

diameter of an orange is 3 inches

Volume of a sphere = 4/3 * π * r³

V = 4/3 * 3.14 * (1.5in) ³

V = 4/3 * 3.14 * 3.375

V = 14.13 in³ This is the actual volume of an orange

Let us simply solve the given choices to choose which is the nearest approximate:

1*10 ⁰ in³ → 1 x 1 in³ = 1 in³

1*10 ¹ in³ → 1 x 10 in³ = 10 in³

1*10 ² in³ → 1 x 100 in³ = 100 in³

1*10 ³ in³ → 1 x 1000 in³ = 1000 in³

10 in³ is closest to 14.13 in³. So, the best approximate is 1 x 10¹ in³