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 W…

Question

asked Jul 12, 2021 98.1k views

1 Answer

Sneh Pandya · Answer 1 · 2021-07-17T03:58:35+0000

Answer:

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