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In this video, Mahalo math expert Allison Moffett shows you how to find the surface area of a sphere.
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Surface Area of a Sphere
A sphere is a three-dimensional object. The surface area is a measurement of the area that covers the outside of the sphere. To find the surface area of a sphere, you must first find the radius. It is the distance from the center of the circle to any point on the edge. Then you can plug that number into the formula SA=4π times r squared, where SA is surface area and r is the radius.
For example, the sphere in the figure below has a radius of three. If you plug that into the formula, you get surface area equal to four times pi times three squared. Three squared is nine, and nine times four is 36. You can either multiply out 36 times pi or you can leave it as 36π.
References
Trash
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Introduction to Geometry 5:15
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All About Circles 10:21
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Angles and Triangles 11:08
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Classifying Angles 3:54
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Corresponding Angles 1:59
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Using The Interior Angle Theorem 1:12
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Classifying Triangles 1:41
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Equilateral Triangles 0:32
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Isosceles Triangles 0:38
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Obtuse Triangles 0:34
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Scalene Triangles 0:38
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How to Find the Area of a Triangle 0:00
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Working with Quadrilaterals 11:31
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Calculating Surface Area 1:10
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Finding Volume 13:42
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How to Calculate the Volume of a Sphere 0:00
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How to Find the Volume of a Cube 0:00
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How to Find the Volume of a Cylinder 2:28
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How to Find the Volume of a Cone 3:01
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How to Find the Volume of a Pyramid 2:40
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Beginner Volume Word Problem 0:53
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Intermediate Volume Word Problem 1:02
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Advanced Volume Word Problem 1:07
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Word Problem: Building a Patio 1:07
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Quiz: Find the Volume of a Sphere 0:00
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Quiz: Find the Volume of a Cylinder 0:42
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Quiz: Find the Volume of a Pyramid 0:42
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Meet Our Expert
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Allison Moffett
Mahalo math expert Allison Moffett holds a bachelor's degree in physics from the University of California, San Diego and a master's degree in mathematics from San Diego State University. She has spent years working as a math teacher and enjoys breaking down often complex processes into easily understandable and repeatable steps.
