Question

A balloon is expanded to the same volume as that of a human head. Do an order-of-magnitude estimate of the volume of this balloon in cm^3
a. 100cm^3

b. 1,000,000cm^3

c. 10cm^3

d. 1,000cm^3

Answer 1

Answer:

Volume of balloon =  1000 cm^3

Explanation:

 The head of a normal person can be assumed as a sphere with radius 10 cm.

 Volume of sphere $=\frac{4}{3} \pi r^3$, where r is the radius.

 We have approximate radius = 10 cm.

  Approximate volume of head $=\frac{4}{3} \pi r^3=\frac{4}{3} *\pi* 10^3=4188cm^3$

 In the given options the closest value to the approximate volume is 1000 cm^3.

 So, volume of head = Volume of balloon =  1000 cm^3