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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.

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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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