Total surface area of the bucket
=TSA=π×l×(r1+r2)+π×(r12+r22)
Where π=227,
l= Slant height of the bucket
=√(h)2+(r1−r2)2
r1=28cm and r2 = 7 cm
l= Slant height of the bucket
=√(45)2+(21)2 cm=49.6 cm
Therefore,
TSA=[227×49.6×(28+7)+ 227×(282+72)]=8074 cm2