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…

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asked Aug 13, 2019 31.0k views

1 Answer

Ashna · Answer 1 · 2019-08-17T04:45:28+0000

Answer:

Volume of balloon = 1000 cm^3

Step-by-step explanation:

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

Volume of sphere
$=(4)/(3) \pi r^3$ , where r is the radius.

We have approximate radius = 10 cm.

Approximate volume of head
$=(4)/(3) \pi r^3=(4)/(3) *\pi* 10^3=4188cm^3$

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