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# Cone calculator

Input two elements of a cone, and the calculator will find the seven unknown elements. The calculator will provide a step-by-step explanation on how to calculate missing elements. 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 ↓↓
Solve for
Enter values in two text boxes
calculator works with decimals, fractions and square roots (to input $\color{blue}{\sqrt{2}}$ type $\color{blue}{\text{r2}}$)
r =

d =
h =

l =
V =

A =
AB =

CSA =
working...
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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