Question

derive the formula of volume of frustum of the cone​

Answer 1

Answer:

Derivation of the formula of volume of frustum of the cone:

Using the same Similar triangles property lets find the value of h, R/ r = (H+h)/ h.

⇒ h= [r/(R-r)] H.

Substituting the value of h this equation we get: =1/3 πH [r/(R-r)][(R3-r3)/ r)\]

=1/3 πH [(R3-r3)/(R-r)]

= 1/πH [(R-r)(R2 +Rr+r2)/ (R-r) ]

=1/πH (R2 +Rr+r2)

Therefore, the volume (V) of the frustum of the cone is =1/3 πH (R2 +Rr+r2 ).

Answer 2

Refer to the attachment

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