Question

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

Answer 1

The formula to find the volume of a sphere is:

V = (4/3)πr^3

Substituting r = 3, we get:

V = (4/3)π(3^3) V = 113.1 cubic inches

To find the time it takes Sarah to inflate the balloon, we can use the formula:

time = volume / rate of inflation

Substituting the values we know, we get:

time = 113.1 / 200 time = 0.5655 minutes

Rounding to the nearest tenth, the time it takes Sarah to inflate the balloon is approximately 0.6 minutes.