# Math

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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 -

Wouldn't it depend on how well the paint covers area?

• Math -

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 = &pid2

since we know d=4cm them we have

A = &pi*(4cm)2
A=16cm2

Since A = the amount of paint we found the answer 16cm2

• Math -

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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