eguruchela

Conical Frustum Volume, Surface Area and Height Calculation


Calculate the various properties of a conical frustum for given values.

Conical Frustum

Conical radius value (r1) :m
Conical radius value (r2) :m
Conical height (h) :m

Volume (V)=m3
Slant Height (S)=m
Lateral Surface Area (L)=m2
Top Surface Area (T)=m2
Base Surface Area (B)=m2
Total Surface Area (A)=m2
Find the various properties of a conical frustum for given two conical radius and conical height. This geometric solid conical frustum is one of a cright circular cone, where a right cone is a cone with its vertex point above the center of its base. The frustum is a cone with the top cut off by making a slice parallel to the base.
Conical Frustum

Formula:

Volume:
V = (1/3) * π * h * (r12 + r22 + (r1 * r2))

Slant height:
s = √((r1 - r2)2 + h2)

Lateral surface area:
S = π * (r1 + r2) * s
= π * (r1 + r2) * √((r1 - r2)2 + h2)

Top surface area: T = πr12

Base surface area: B = πr22

Total surface area:
A = π * (r12 + r22 + (r1 + r2) * s)
= π * { r12 + r22 + (r1 + r2) * √((r1 - r2)2 + h2) }

What is LSA, CSA and TSA

LSA (Lateral Surface Area) is the areas of the lateral surfaces of an object.

CSA (Curved Surface Area) is the area of the curved surfaces of an object. curved surfaces area of cylinder or hemisphere are the same as their LSA.

TSA (Total Surface Area) includs the curved surface area and the base area.