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) }