Posted by **Chris** on Sunday, October 25, 2009 at 9:25pm.

A spherical tree ornament is to be painted in bright colors. If the ornament has a diameter of 4 cm,

how much paint is needed?

- Math -
**bobpursley**, Sunday, October 25, 2009 at 9:27pm
Wouldn't it depend on how well the paint covers area?

- Math -
**michael**, Monday, October 26, 2009 at 12:48am
The amount of paint you need is the exact same amount of area the ornament has.

The problem tells you that the ornament is a sphere, so the formula for area is

A = &pid^{2}

since we know d=4cm them we have

A = &pi*(4cm)^{2}

A=16cm^{2}

Since A = the amount of paint we found the answer 16cm^{2}

- Math -
**PsyDAG**, Monday, October 26, 2009 at 9:37am
In contrast to michael's post, the formula for the surface area of a square is actually

A = 4 (pi)* r^2

Since the diameter is 4, the radius = 2, so

A = 4 (pi) * 4 = 16 (pi) = 16 (3.1416) = ?

I hope this helps a little more. Thanks for asking.

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