Question

Sarah is blowing up spherical balloons for her brother's birthday party. One of the balloons has a radius of 3 inches. Round to the nearest tenth.

Suppose Sarah can inflate the balloon at a rate of 200 cubic inches per minute. How long will it take her to inflate the balloon?

Answer 1

we know that
[volume of a sphere]=(4/3)*pi*r³
for r= 3 in
calculate the volume of one balloon
balloons=(4/3)*pi*r³-------> (4/3)*pi*3³----------> 113.04 in³

if the rate is 200 in³ --------------------> 1 minute
113.04 in³------------------------> X
X=113.04/200------------> 0.5652

the answer is 0.6 minutes