Elisa wants to use the Fermi process to estimate the number of ping pong balls that would fill a truck. As part of the process, she needs to estimate the volume of a ping pong ball. The diameter of a ping pong ball is about 40 mm. Which estimate best approximates the volume of a ping pong ball?

Question

Geography

Gauge Shah

31 March, 15:58

Elisa wants to use the Fermi process to estimate the number of ping pong balls that would fill a truck. As part of the process, she needs to estimate the volume of a ping pong ball. The diameter of a ping pong ball is about 40 mm. Which estimate best approximates the volume of a ping pong ball?

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Answers (1)

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Katie Robinson · Answer 1

Given:

diameter = 40 mm

Formula:

V = ⁴⁄₃πr³

If π = 3.14, then find the following:

V = ?

r = ?

First, let's calculate radius using this formula: Diameter = 2 * Radius.

r = 40 mm/2

r = 20 mm

Then, we can get volume.

V = ⁴⁄₃ (3.14) (20) ³

V = ⁴⁄₃ (3.14) (8000)

V = 4 (25, 120) / 3

V = 100, 480 / 3

V = 33, 493 mm³