, Sphere:
❖ T.S.A(Total Surface Area):
TSA of a sphere exists because a sphere has only one surface
A sphere is a perfectly
round 3D object.
It has no flat faces, no
curved sides separate
from anything else, and
no base.
So the entire surface of a
sphere is just one
continuous curved
surface.
That’s why:
TSA of sphere = CSA of sphere
And the formula is:
T.S.A = 4𝝅𝒓𝟐
❖ Volume:
𝟒
V = 𝝅𝒓𝟑
𝟑
Imagine building a sphere by stacking infinitely many tiny circular discs like very thin slices.
Each disc has:
• Radius that changes with height
• Area = 𝝅𝒓𝟐
𝟒
V = 𝝅𝒓𝟑
𝟑
❖ T.S.A(Total Surface Area):
TSA of a sphere exists because a sphere has only one surface
A sphere is a perfectly
round 3D object.
It has no flat faces, no
curved sides separate
from anything else, and
no base.
So the entire surface of a
sphere is just one
continuous curved
surface.
That’s why:
TSA of sphere = CSA of sphere
And the formula is:
T.S.A = 4𝝅𝒓𝟐
❖ Volume:
𝟒
V = 𝝅𝒓𝟑
𝟑
Imagine building a sphere by stacking infinitely many tiny circular discs like very thin slices.
Each disc has:
• Radius that changes with height
• Area = 𝝅𝒓𝟐
𝟒
V = 𝝅𝒓𝟑
𝟑
