Exploring Volume and Surface Area of Spheres and Hemispheres

A flat surface in three dimensions

A solid where all surface points are equidistant from the center

A circular object without depth

A 2D shape with all points at equal distance from the center

The total area of the sphere's surface

The distance from the center to any point on the surface

The distance across the sphere through the center

The length around the sphere

2/3 pi r cubed

pi r squared

4/3 pi r squared

4/3 pi r cubed

pi r squared

2 pi r squared

4 pi r cubed

4 pi r squared

48 mm

12 mm

6 mm

24 mm

It increases eightfold

It quadruples

It doubles

It stays the same

4/3 pi r cubed

3/2 pi r cubed

2/3 pi r cubed

pi r cubed

2 pi r squared

4 pi r squared

3 pi r squared

pi r squared

375/3 pi km^3

500/3 pi km^3

125/3 pi km^3

250/3 pi km^3

A square

A great circle

A small circle

A triangle