Consider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H + h'. There are two formulas that are used to calculate the volume of a frustum of a cone. V = πH/3 (R 2 + Rr + r 2) What Is the Volume of the Frustum of a Cone Formula? We can use this formula to calculate one of the unknown values among 'r', 'R', and 'H' and then we can find the volume (V) of the frustum using the formula: The relation between the height (H), slant height (L), and base radii R and r of the frustum of the cone is, L 2 = H 2 + (R - r) 2. By the development of scanning and imaging technologies, Topcon Imaging Station (IS) used for three dimensional modeling (3D) surveying of objects in many field such as topographic survey, mining, construction and as-built survey, etc disciplines has become a productive, faster and accurate method. What Is the Volume of the Frustum of a Cone Formula Using Slant Height?Ĭonsider a frustum of radii 'R' and 'r', and height 'H' which is formed by a cone of base radius 'R' and height 'H + h'.
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