The radii of the circular ends of a frustum are 6 cm and 14 cm. If its slant height is 10 cm, then its vertical height is

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Radii of circular ends of frustum r_1 = 14 "cm" , r_2 = 6"cm " Slant height l = 10"cm , h" = ? `l = sqrt (h^2 + (r_1 - r_2)^2) l^2 = h^2 + (r_1 - r_2)^2 {squaring on both sides} h^2 = l^2 - (r_1 - r_2)^2 h^2 = (10)^2 - (14 - 6)^2 h^2 = 100 - 64 h^2 = 36 h = 6 "cm"`

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