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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.
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
ex 1:
Find the total area of a cone with a radius of 8.2cm and a height of 8.5cm.
ex 2:
What is the height of a cone with a total area of 24π cm and a diameter of 4
cm?
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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