Cone Calculator

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.


I want to solve for:*
Radius (r):*
Height (h):*

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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:

Cone Radius Formula based on height (h) and on slant height (s)

■ If you choose to compute the height (h) the you have to know both the radius (r) and the slant height (s):

Cone Height Formula based on radius (s) and on 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):

Cone Slant Height Formula based on radius (r) and on height (h)

■ If you choose to calculate the surface area (TA) then you have to know the radius (r) and the height (h):

Cone Surface Area Formula based on radius (r) and on 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):

Cone Lateral Surface Area Formula based on radius (r) and on height (h)

■ In case you want to estimate the base area (BA) then you have to provide only the radius (r):

Cone Base Surface Area Formula based on 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):

Cone Volume Formula based on radius (r) and on 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:

Cone Radius Formula based on Volume (V) and on height (h)

■ You can also determine the radius (r) if you provide the slant height (s) and the lateral surface area (LA) by this equation:

Cone Radius Formula based on lateral surface area (LA) and on slant height (s)

■ You can compute the height (h) in case you know the radius (r) and the volume (V):

Cone Height Formula based on Volume (V) and on height (h)

■ You can determine the slant height (s) in case you have values for radius (r) and lateral surface area (LA):

Cone Slant Height Formula based on 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):

Cone Slant Height Formula based on 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