Volume of sphere

Volume of a Sphere
Quiz

Volume - Sphere
Take Quiz
Relevant For...

Geometry
Volume
Sravanth Chebrolu, Worranat Pakornrat, Andrew Ellinor, and  2 others  contributed
A sphere is a perfectly round geometrical 3-dimensional object. It can be characterized as the set of all points located distance  (radius) away from a given point (center). It is perfectly symmetrical, and has no edges or vertices.


Note: Earth is not a sphere! As mentioned above sphere has no edges or vertices. But earth is slightly flattened on the poles, which makes it's shape . It's shape is given a special name;

A sphere with radius  has volume  and surface area .

Interesting fact: Of all shapes with the same surface area, the sphere has the largest volume.

What is the volume of a sphere of radius ?
 ANSWER
If the surface area of a sphere is what is the volume of the sphere?
 ANSWER
You have a gold sphere whose volume is  If you want the gold sphere to be twice as large in size, how much more gold do you have to bring to a jeweler in addition to the gold sphere you currently have?
From the formula  for the volume of a sphere with radius  you know that the radius of your gold sphere is  Since you want the radius to be  the amount of gold required to make the new, bigger sphere is  Hence, the additional amount of gold required is
[[end-hidden]]
The volume of sphere  is  times that of sphere  The surface area of  is how many times the surface area of
 ANSWER

Comments

Popular posts from this blog

inthinai