Answer :

Given: Radius of lower circular end = r = 27 cm


Radius of upper circular end = R = 33 cm


Slant height = l = 10cm



Total surface area of frustum = πr2 + πR2 + π(R + r)l cm2


Here h height of frustum is not given and we need h to find the volume of frustum therefore we must first calculate the value of h as follows



using formula for slant height and with the help of given data we get



Squaring both sides


100 = 36 + h2


h2 = 64


h = 8


As length cannot be negative


h = 8 cm




= 22 × 8 × 129


= 22704 cm3


capacity = volume of frustum = 22704 cm3


Total surface area of frustum = πr2 + πR2 + π(R + r)l cm2



= (22/7) × (1089 + 729 + 600)


= (22/7) × 2418


= 7599.428 cm2


total surface area = 7599.428 cm2


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