When you change the size of a sphere, it affects how much surface it has and how much space is inside. Let's break it down simply:

1. Surface Area: We use this formula:

   • A = 4πr²
   • Here’s what it means:
     • If you make the sphere twice as big (double the radius), the surface area becomes four times bigger.
     • For example, a sphere with a radius of 1 has a surface area of about 12.57.
     • But if the radius is 2, the surface area goes up to about 50.27!

2. Volume: For figuring out how much space is in the sphere, we use this formula:

   • V = 4/3πr³
   • Here’s how it works:
     • If you double the radius, the volume (the amount of space inside) becomes eight times bigger.
     • So, if the radius is 1, the volume is about 4.19.
     • But if the radius is 2, the volume jumps up to about 33.51!

It's pretty amazing how quickly these numbers grow just by changing the radius a little!