Volume Of A Sphere

To solve the problem, we need to determine the volume of a sphere given its diameter . Let us analyze this step by step.

1. Formula for the Volume of a Sphere:
The standard formula for the volume of a sphere in terms of its radius is:

$ of a sphere is twice its radius . Therefore:

\) :

\) in the Volume Formula:
We substitute into the volume formula:

\) $

4. Conclusion:
The volume of the sphere in terms of its diameter is .

Final Answer:
The correct option is .

To solve the problem, we need to find the volume of a sphere whose radius is given as .

1. Volume Formula for a Sphere:
The volume of a sphere is given by the formula:

2. Substituting Radius as :
If radius = , then the volume becomes:

Final Answer:
The volume of the sphere is

To solve the problem, we need to determine how much the volume of a sphere increases when its radius is increased by 100%.

1. Original Volume of the Sphere:
The volume of a sphere is given by:

2. New Radius After 100% Increase:

100% increase in radius means the new radius becomes:

3. New Volume of the Sphere:

4. Percentage Increase in Volume:

Increase =

Percentage increase =

Final Answer:
The volume is increased by .