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?
The surface area of a sphere is
4πr² where r=4/2=2 cm, π=3.1416.
surface area = 4πr²=?
A sphere has a surface area of 4d^2 where d is the diameter. Calculate the area. You need to know how much area the paint you are using covers before you will know the quantity of paint needed.
My eyes are playing tricks on me. I misread pi as 4 when I looked up the formula. The surface area of a sphere is pi*d^2 (the same as 4*pi*r^2). But you still don't know how much paint is needed until you know the area the paint will cover.
ok thank you that is all i needed to know i will then post what I got and please let me kow if I got it correct.
To find the amount of paint needed, you need to calculate the surface area of the spherical ornament.
The surface area of a sphere can be calculated using the formula:
A = 4πr^2
where A represents the surface area and r is the radius of the sphere.
In this case, the diameter of the ornament is given, which is 4 cm. The radius can be calculated by dividing the diameter by 2:
r = d/2 = 4 cm / 2 = 2 cm
Now, substitute the value of the radius into the formula for surface area:
A = 4π(2 cm)^2
= 4π(4 cm^2)
= 4π(16 cm^2)
= 64π cm^2
So, the surface area of the spherical ornament is 64π square centimeters.
To find the amount of paint needed, it would depend on how much area can be covered with a certain volume of paint. This information would be specified by the manufacturer of the paint or determined based on previous experience.