This cone calculator can help you calculate the volume, surface area, base & lateral surface area, radius or height & slant height of a right circular cone if you provide the required dimensions.
Most often used cone formulas when radius (r) and height (h) are known
■ Slant height of a cone (s) = √(r2 + h2)
■ Base surface area of a cone (BA) = πr2
■ Lateral surface area of a cone (LA) = πrs = πr√(r2 + h2)
■ Total surface area of a cone (TA) = LA + BA = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
■ Volume of a cone (V) = (1/3)πr2h
How does this cone calculator work?
The algorithm of this circular cone calculator is based on the formulas provided here:
■ In case you choose to solve for radius (r) you have to provide the height (h) and the slant height (s) then:
■ If you choose to compute the height (h) the you have to know both the radius (r) and the slant height (s):
■ In case you select to determine the slant height (s) then you have to input both the radius (r) and height (h):
■ If you choose to calculate the surface area (TA) then you have to know the radius (r) and the height (h):
■ In case you want to determine the lateral surface area (LA) then you have to specify the radius (r) and the height (h):
■ In case you want to estimate the base area (BA) then you have to provide only the radius (r):
■ Finally in case you want to calculate the volume (V) then you have to give both the radius (r) and the height (h):
Other cone formulas
Apart from the equations provided above, depending on the given variables there are few other cone formulas that may be useful:
■ You can figure out easily the radius (r) value in case you know height (h) and volume (V) by this formula:
■ You can also determine the radius (r) if you provide the slant height (s) and the lateral surface area (LA) by this equation:
■ You can compute the height (h) in case you know the radius (r) and the volume (V):
■ You can determine the slant height (s) in case you have values for radius (r) and lateral surface area (LA):
■ You can also compute the slant height (s) in case you know the radius (r) and surface area (TA):
Where:
r = radius
h = height
s = slant height
LA = lateral surface area
BA = base surface area
TA = total surface area
V = volume
√ = square root
π = pi = 3.14159
28 Jul, 2015