Question

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

Answer 1

1*10^1in3

Explanation:

Answer 2

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:

1×10⁰ in³ → 1 x 1 in³ = 1 in³
1×10¹ in³ → 1 x 10 in³ = 10 in³
1×10² in³ → 1 x 100 in³ = 100 in³
1×10³ in³ → 1 x 1000 in³ = 1000 in³

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