Question

A water balloon holds 113.1in³ of water. What is the diameter, in inches, of the balloon? Round to the nearest hundredth. (Hint: 1/6 d³π =V) Select one:

a. 0.07
b. 59.22
c. 7.7
d. 6

Answer 1

The diameter of the water balloon is 6 inches.

Therefore, the correct answer is: option d) 6

Step-by-step explanation:

To find the diameter of the water balloon, we can use the formula for the volume of a sphere:

V = (4/3)πr³

Given that the balloon holds 113.1in³ of water, we can set up the equation:

113.1in³ = (4/3)πr³

To solve for the radius, we can rearrange the equation:

r³ = (3/4)*(113.1in³)π

r = ((3/4)*(113.1in³)π)1/3

Finally, to find the diameter, we multiply the radius by 2:

d = 2r

d = 2 * ((3/4)*(113.1in³)π)1/3

Calculating the equation, we get d = 6 inches (rounded to the nearest hundredth).