Volume of a Sphere With Animation

Super Kids Spark

'Let's start with Surface Area,' Dad said. 'That is the total amount of space on the OUTSIDE of the ball. Imagine trying to wrap it completely in wrapping paper, or painting the whole outside.'

'How do we find that?' I wondered.

'It's a wonderful secret! If you take the area of a flat circle (\(\pi \times r \times r\)), you would need exactly FOUR of those circles to perfectly cover the outside of the sphere!'

Surface Area = 4 Flat Circles

Sphere

=

Circle

Circle

Circle

Circle

Adjust Radius (\(r\)):

Type Radius (\(r\)) or Select:

Presets \(r = 1\) \(r = 2\) \(r = 3\) \(r = 5\) \(r = 10\)

Calculated Surface Area (\(SA\)):

\(113.04\)

$$SA = 4 \times \pi \times r^2$$

• \(SA\) = Surface Area (the outside skin of the sphere) Outside Space
• \(\pi\) = Pi (the magic number \(3.14\)) \(3.14159...\)
• \(r\) = Radius \(3\)

Part of ARO study Circle