If the height of a bucket in the shape of frustum of a cone is 16 cm and the diameter of its two circular ends are 40 cm and 16 cm then its slant height is

Given: Height of the frustum of a cone: 16 cm


Diameters of the Circular ends: 40cm and 16 cm.


Radius of the Circular ends: = 20cm and = 8cm



Here slant height h can be found by using Pythagoras theorem.


s2 = h2 + (R-r)2 (here R is 20cm and r is 8cm)


s2 = 162 + (20—8)2


s2 = 162 + (12)2


s2 = 256 + 144


s2 = 400


s = √400 = 20


Slant height 0f the Frustum is 20cm

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