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Cone Calculator

A cone is a three dimensional geometric shape with one vertex and a circular base. The line form the centre of the base to the apex is the perpendicular height.

Calculate the area, volume, height of Cone (Cone Calculator)

Table of Contents:

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    Formula

    Slant height of Cone (l) = Sqrt(r² + h²)

    Volume of Cone = (1/3)πr² h
    Curved Surface Area (CSA) of Cone = πrl

    Total Surface Area (TSA) of Cone = πr(l + r)
    where,
    r = radius, l = slant height, h = height, π = 3.14

    A Cone is a geometric shape formed by having a circle at one end, usually at a base. It consists of all line segments joining to a single point to every point of a two-dimensional figure.
    Illustrated Examples:

     

    Find the volume, curved surface, and total surface area of a cone with the given radius 3 and height 4.

    Step 1: Find the slant height.
    Slant height (l) = Sqrt(r² + h²) = Sqrt(3² + 4²)= Sqrt(9 + 16) = Sqrt(25) = 5.

    Step 2: Find the volume.
    Volume = (1/3)πr² h = (1/3) * 3.14 * 3² * 4 = 0.33 * 113.04 = 37.68.

    Step 3: Find the curved surface area (CSA).
    CSA = πrl = 3.14 * 3 * 5 = 47.1.

    Step 4: Find the total surface area (TSA).
    TSA = πr(l + r) = 3.14 * 3(5 + 3) = 3.14 * 3(8) = 3.14 * 24 = 75.36