The height of a cone is 30 cm. A frustum is cut off from this cone by a plane parallel to the Base of the cone .if the volume of the frustum is 19/27 of the volume of the cone. Find the height of the frustum.
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Given height of cone, H = 30 cm Let height of cut portion of cone = h Given volume of frustum of cone = (19/27) volume of cone Triangles APC and AQE are similary Hence (AP/AQ) = (PC/QE)Hence (h/H) = (r/R) Volume of coneABC/Volume of cone ADE = 19/27Substitute the values and simplify to get the height of the frustum of cone.
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