Bookmark and Share

Surface Area and Volume of Spheres

This topic covers the concept of volume and surface area of the spheres. How to find the surface area and volume of composite figures and what is the effect of change of dimensions on the same are also covered.

Topic: Volume of Spheres

  • The volume V of a sphere is 4/3 x ∏ times the cube of the radius r

  • Volume of a sphere = 4/3 x ∏ x r3

  • The volume of a sphere is two-third the volume of a cylinder of the same base radius and height

Topic: Surface Area of Spheres

  • The surface area S of a sphere is 4∏ times the square of radius r

  • Surface area of a sphere = 4∏r2

Topic: Effect of Change in Dimensions

  • When the radius of the sphere is increased by a factor of n, the volume increases by a factor of n3

  • When the radius of the sphere is increased by a factor of n, the surface area increases by a factor of n2

Topic: Volume and Surface Area of Composite Figures

  • The volume of the composite figure can be calculated by adding the volumes of the figures constituting the composite figure

  • The surface area of the composite figure is calculated by adding the surface areas of the individual figures constituting the composite figure.
    The areas of the common faces, not exposed to the outsides, are not counted
Other Resources
View all concepts
Smartest Way to Practice Math
TenMarks is the smartest way to practice and learn math online. Experience our interactive worksheets that engage students.
Personalized program, mapped to state standards
Interactive worksheets with hints and video lessons
Rewards and certificates motivate students
Only $10 a month
TenMarks - Experience