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) = √(r^{2} + h^{2})

■ Base surface area of a cone (BA) = πr^{2}

■ Lateral surface area of a cone (LA) = πrs = πr√(r^{2} + h^{2})

■ Total surface area of a cone (TA) = LA + BA = πrs + πr^{2} = πr(s + r) = πr(r + √(r^{2} + h^{2}))

■ Volume of a cone (V) = (1/3)πr^{2}h

## 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