Answer:
1.37 inches
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`.