Volume & Surface Area: Surface Area of a Sphere
Learn how to calculate the surface area of spheres, spherical shells, and surface area ratios with cubes. Practice exercises with step-by-step solutions.
Practice
📖 Learning Guide
The surface area of a sphere represents the total area of the outside boundary of the sphere. It is calculated using the radius :
2. Spherical Shell Surface Area
For a hollow spherical shell, the total surface area consists of both the outer surface area and the inner surface area. It is found by adding them together:
Learning Topics
Frequently Asked Questions
What is volume?
Volume is the amount of three-dimensional space occupied by an object. It is measured in cubic units, such as cubic centimeters (cm³) or cubic meters (m³).
How do you calculate the volume of a box?
The volume of a box (rectangular prism) is calculated by multiplying its length, width, and height: V = l × w × h.
What is the surface area of a shape?
Surface area is the total area of all the exterior faces of a 3D shape. It represents how many square units are needed to completely cover the outside of the shape without any overlaps.
How do you calculate the surface area of a sphere?
The surface area of a sphere is calculated using the formula: , where is the radius of the sphere.