A water balloon has a diameter of 6 inches. How many cubic inches of water does it contain when it is 3/4 full

1 answer:

7 0

Below are the choices that can be found from other sources:

A) 36 pi
B) 6 pi 
C) 27 pi 
D) 216 pi 
E) 48 pi

A sphere's volume is (4/3)*pi*r^3.
The diameter of the balloon is 6 inches. The diameter is twice the radius. The radius is 3 inches. 

(4/3)*pi*3^3 = 36 * pi 

But the balloon is only 3/4 full. So 

36 * (3/4) * pi = 27 * pi. 

The balloon has 27 pi cubic inches of water.

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