Question

A water balloon holds 381.7 in.3 of water. What is the diameter, in inches, of the balloon? Round to the nearest hundredth. (Hint: 16d3π=V )

A. 9.00
B. 199.86
C. 0.04
D. 14.14
What is the answer

Answer 1

A 9.00 in

Explanation:

The balloon is in the shape of a sphere.

The volume of a sphere, in terms of diameter, is given as:

`V = (1)/(6) \pi d^3`

Therefore:

`381.7 = (1)/(6) \pi d^3\\\\=> d^3 = (6 * 381.7)/(\pi) \\\\d^3 = 728.993\\\\d = \sqrt[3]{728.993} \\\\d = 9.00 in`

The diameter of the balloon is 9.00 inches