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In a water balloon fight, each water balloon holds approximately [tex]\frac{3}{4}[/tex] cups of water. If 1 cup of water is approximately 14.44 cubic inches, what is the radius of the balloon in inches? (Round your answer to the nearest hundredth.)

Choose one of the following:

A. 1.66 inches

B. 2.59 inches

C. 1.37 inches

D. 4.60 inches

Show your work.

Answer :

Answer:

1.37 inches

Step-by-step explanation:

Given that,

1 cup of water is approximately 14.44 cubic inches of water.

Also, each water balloon holds approximately 3/4 cups of water.

Let's find the volume of the water balloon.

The volume of the water balloon is given by:

`V = (3/4) x 14.44`

`V = 10.83` cubic inches

The formula for the volume of a sphere is:

`V = (4/3)πr³`

Substituting the value of V in the above equation, we get:

`(4/3)πr³ = 10.83`

`r³ = (10.83 x 3)/(4π)`

`r³ = 8.1225`

Taking the cube root of both sides, we get:

`r = 2.159`

Therefore, the radius of the water balloon in inches is approximately `2.16 inches` (rounded to the nearest hundredth).

Hence, the correct option is `1.37 inches`.

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