The number of square units that are covering the outside of a spherical object is known as the surface area.The equation was discovered thousands of years ago by the Greek philosopher and mathematician.The formula (4r) can be used to find the surface area of a sphere.
Step 1: The Surface Area is a part of the equation.
The easiest way to determine the surface area of a sphere is with this formula.You can use almost any calculator to get the surface area of your sphere.The radius is the distance from the center to the edge of the sphere.The ratio between a circle's circumference and diameter is useful in all equations with circles and spheres.It is often shortened as, but there is an infinite number of decimals.The surface area of a sphere is four times larger than the circle's.
Step 2: The sphere has a radius.
Sometimes your problem will give you the radius, and other times you will have to find it on your own.Divide the circle's diameter by 2 to get its radius.A sphere of 10 inches has a radius of 5 inches.You need to do more work to get the radius if you only know the volume of a sphere.Divide the volume by 4 and then divide the answer by 3.Take the cube root of the answer.
Step 3: The radius can be Squared by itself.
You can either use your calculator's square function or manually add up the numbers.
Step 4: Take this result and divide it by 4.
Since there are no decimals to convert to, it is easier to start with 4 instead of pi.If our radius is 5, you would be left with either 25 or 100.
Step 5: Put the results by pi.
If your problem says "exact value", write the symbol after your number and call it done.The calculator's button can be used if you don't want to use the approximation.100 3.14 100
Step 6: You should add units to the answer.
Is your sphere's surface area larger than 500 km?The full answer to the sphere in the pictures is: Surface Area is 314 units.The units you use are the same ones used to measure the radius.The answer will be in meters if the radius is there.The area measures how many flat squares we could fit on the surface of the sphere.The practice problem is measured in inches.If the sides of every square are 1 inch long, we can fit 314 squares on the surface of the sphere.
Step 7: Use an example.
What is the surface area of a 7 centimeters sphere?4r r is 7 4 * * 7 49 * 4
Step 8: Understand the area.
Think of the surface area of a sphere as rubber covering a kickball or the ground.The surface area of a sphere is harder to measure than a box because it is curved.A sphere can be produced by rotating a circle around its axis.Think of a coin being spun on the table and how it will form a sphere.This is where our equation comes from.Spheres have a smaller surface area per volume than any other shape, which means it can hold more things in a small area.