Relation of Radius, Surface Area, and Volume of a Sphere


	Imagine that you are blowing up a spherical balloon at the rate of 1 cm³/s. How do the radius and surface area of the balloon change with its volume? We can find the answer using the formulas for the surface area and volume for a sphere in terms of its radius.


	Contributed by: Joe Bolte

Sphere (Wolfram MathWorld)

"Relation of Radius, Surface Area, and Volume of a Sphere" from The Wolfram Demonstrations Project
http://demonstrations.wolfram.com/RelationOfRadiusSurfaceAreaAndVolumeOfASphere/

Contributed by: Joe Bolte

Free Download: Mathematica Player--Runs all Demonstrations & more

Calculus
Solid Geometry
High School Calculus and Analytic Geometry
High School Geometry
High School Mathematics

Browse all topics

Cone, Tent, and Cylinder
Related Rates: Triangle Angle and Area
Related Rates: A Boat Approaching a Dock
Related Rates Clock
Estimating the Surface Area and Volume of a Rectangular Prism
Minimizing the Surface Area of a Cylinder with a Fixed Volume
Volume of a Parallelopiped
A Snowball's Rate of Change
Between Sphere and Torus
Rhombicuboctahedron Star on a Sphere

Email
Link to URL
Embed
Bookmark

Make a new version of this Demonstration
Upload a new Demonstration

Source page:

Name (optional)

Occupation (optional)

Organization (optional)

I use Mathematica:

often

occasionally

never

Country (optional)
Remember me

Note: Please do not include anything you consider confidential or proprietary. We will keep your information private. We will not give it to any third party.
Privacy Policy »