Explanation:
To calculate the amount of air used to fill a spherical balloon, we need to determine its volume. The volume of a sphere can be calculated using the formula:
Volume = (4/3) × π × radius³
Given that the radius of the balloon is 165 mm, we can substitute this value into the formula:
Volume = (4/3) × π × (165 mm)³
Calculating this expression will give us the volume of the balloon. However, to provide the answer in a more practical unit, such as liters, we need to convert the volume from cubic millimeters to liters.
1 liter = 1000 cubic centimeters (cc)
1 cubic centimeter (cc) = 1 milliliter (ml)
1 milliliter (ml) = 1 cubic millimeter (mm³)
So, to convert the volume from cubic millimeters to liters, we divide the volume by 1000:
Volume (liters) = Volume (cubic millimeters) / 1000
Now, let's calculate the volume of the balloon and convert it to liters:
Volume (cubic millimeters) = (4/3) × 3.14159 × (165 mm)³
Volume (cubic millimeters) ≈ 4.18879 × (165 mm)³
Volume (liters) = (4.18879 × (165 mm)³) / 1000
Using a calculator to evaluate this expression will give us the volume of the balloon in liters.