Cone calculator

Enter two values of a cone and select what to find. The calculator gives a step-by-step solution on how to find the missing value of a cone.

Cone Calculator

input two values of a cone and select what you want to find
help ↓↓ examples ↓↓

I want to calculate:

Enter values in two text boxes
calculator works with decimals, fractions and square roots (to input $ \color{blue}{\sqrt{2}} $ type $\color{blue}{\text{r2}} $)

radius

$ r $ =

diameter

$ d $ =

height

$ h $ =

slant height

$ l $ =

volume

$ V $ =

total area

$ A $ =

base area

$ A_B $ =

Curved Surface
Area

$ CSA $ =

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Cone formulas

$$ V = \frac{a^2 \times h \times \pi }{3} $$

volume

$$ A_L = r \times l \times \pi $$

curved surface area

$$ A_F = r^2 \pi $$

base area

$$ A = A_F + A_L $$

total area

$$ A = r \, \pi (r + l) $$

total area

$$ l^2 = h^2 + r^2 $$

slant height

Examples

example 1:ex 1:

Find the total area of a cone with a radius of 8.2cm and a height of 8.5cm.

example 2:ex 2:

What is the height of a cone with a total area of 24π cm and a diameter of 4 cm?

example 3:ex 3:

The slant height is 12 cm, and the cone radius is 8.5cm. Determine the volume of the cone.

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