Answer :

Given: Height of bucket = h = 24 cm


Radius of lower circular end = r = 7 cm


Radius of upper circular end = R = 14 cm



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


Where l = slant height




l = 25 cm


(i) volume of water which will completely fill the bucket = volume of frustum



= 8 × 22 × 49


= 8722 cm3


volume of water which will completely fill the bucket = 8722 cm3


(ii) area of metal sheet used


Since the top is open we need to subtract the area of top/upper circle from total surface area of frustum because we don’t require a metal plate for top.


Radius of top/upper circle = R


Area of upper circle = πR2


area of metal sheet used = (total surface area of frustum)-πR2


Area of metal sheet used = πr2 + πR2 + π(R + r)l-πR2cm2


= πr2 + π(R + r)l cm2



= 22 × 82 cm2


= 1804 cm2


Area of metal sheet used to make bucket = 1804 cm2


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