Answered

A spherical water balloon has a radius of 3 inches. How many cubic inches of water will it hold?

A. [tex]\( 36 \pi \, \text{in}^3 \)[/tex]
B. [tex]\( 72 \pi \, \text{in}^3 \)[/tex]
C. [tex]\( 30 \pi \, \text{in}^3 \)[/tex]
D. [tex]\( 24 \pi \, \text{in}^3 \)[/tex]



Answer :

GinnyAnswer
To determine the volume of a spherical water balloon with a radius of 3 inches, we can use the formula for the volume of a sphere:

[tex]\[ \text{Volume} = \frac{4}{3} \pi r^3 \][/tex]

Where:
- [tex]\( \pi \)[/tex] (pi) is approximately 3.14159
- [tex]\( r \)[/tex] is the radius of the sphere

Given:
- [tex]\( r = 3 \)[/tex] inches

Let's substitute the radius into the formula and calculate the volume step by step.

1. Cube the radius:
[tex]\[ r^3 = 3^3 = 27 \][/tex]

2. Multiply by [tex]\( \pi \)[/tex]:
[tex]\[ 27 \times \pi \approx 27 \times 3.14159 = 84.8234 \][/tex]

3. Multiply by [tex]\(\frac{4}{3}\)[/tex]:
[tex]\[ \frac{4}{3} \times 84.8234 = 113.09733552923254 \][/tex]

So, the volume of the spherical water balloon is approximately 113.097 cubic inches.

Since 113.097 cubic inches is not among the provided answer choices, the correct option is "There is no correct answer given."