Calculate the Volume of a Balloon
What is the purpose of knowing the diameter of a balloon?
A balloon is filled with air. The balloon is then sealed so it cannot escape. The diameter of this balloon is 20 cm.
What is the purpose of knowing the diameter of the balloon?
A) To determine the color of the balloon.
B) To calculate the volume of the balloon.
C) To decide where to release the balloon.
D) To make the balloon float.
Final answer: option B.
Answer
The purpose of knowing the diameter of the balloon is to calculate its volume using the formula V = (4/3)πr³.
The purpose of knowing the diameter of the balloon is B) To calculate the volume of the balloon.
The volume of a sphere, such as the balloon, can be calculated using the formula V = (4/3)πr³, where r is the radius of the sphere. The radius is equal to half the diameter, so by knowing the diameter, we can easily find the radius and then calculate the volume of the balloon.
Calculating the volume of the balloon is important for various reasons, such as determining the amount of air needed to fill it, understanding its buoyancy, or even for decorative purposes. Knowing the volume of the balloon can also help in deciding the size of the container it can fit into or the storage space required for it.
Therefore, understanding the diameter of the balloon and using it to calculate the volume provides valuable information that can be useful in different scenarios.