Last autumn, julia noticed something interesting as she blew up spherical balloons for harris's birthday party. she calculated the volume of a balloon with a radius of 4 cm and then the volume of a balloon with a radius of 8cm. did she discover that the volume is twice as big when the radius is doubled?

To find whether the volume would be doubled when the radius is,we can find the volume of the two balloons.

The formula of a sphere is:

Let's take 丌 as 3.14

The volume of the balloon with 4cm radius:


The volume of the balloon with 8cm radius:

As we can see,
267.94668 × 2 = 535.89 ≠2145.56

Thus,she wouldn't discover that the volume is twice as big when the radius is doubled.

Hope it helps!

Yes, James Madison would define modern corporations as "factions."  He saw factions as groups of people with shared interests (especially financial ones) that group together to gain advantage for themselves over others in society.

Madison's apprehensions about factions focused especially on the role of money and property in creating competing groups in society based on their wealth or property holdings.  Landholders could be such a faction.  Banking and moneylending agencies could be such a faction.  We could add that large modern corporations are factions in the same sense.  They might work their will against the majority of the people.  

Madison argued that factions of any kind war against the unity of the republic.  Factions consider only their own position, rather than the rights and well-being of the whole community or nation.