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?
You need enough paint to cover the surface area of the ornament.
To determine the amount of paint needed for the spherical tree ornament, we need to calculate the surface area of the ornament, as only the surface will be painted.
The formula to find the surface area of a sphere is:
Surface Area = 4πr^2
Given that the ornament has a diameter of 4 cm, the radius (r) would be half of the diameter, which is 2 cm.
Substituting the value of the radius into the formula, we get:
Surface Area = 4π(2 cm)^2
Calculating this, we get:
Surface Area = 4π(4 cm^2)
Surface Area = 16π cm^2
Therefore, the ornament requires 16π cm^2 of paint.
To find out how much paint is needed, we need to calculate the surface area of the spherical tree ornament.
To calculate the surface area of a sphere, we use the formula:
Surface Area = 4πr²
Where r is the radius of the sphere.
Given that the diameter of the ornament is 4 cm, we can find the radius by dividing the diameter by 2:
Radius = 4 cm / 2 = 2 cm
Now we substitute the radius into the formula:
Surface Area = 4π(2 cm)²
Surface Area = 4π(4 cm²)
Surface Area = 4π(16 cm²)
Surface Area = 64π cm²
Therefore, the surface area of the spherical tree ornament is 64π square centimeters.
To find out how much paint is needed, you would need to know the coverage of the paint you are using. Paint coverage is typically given in square units per volume (e.g., square centimeters per liter). With the surface area of the ornament in square centimeters, you can then divide it by the coverage of the paint to determine the required volume of paint.