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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

User Eclewlow
by
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1 Answer

4 votes

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

User Sneh Pandya
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7.4k points