If the radii of the circular ends of a conical bucket which is 32 cm high are 40 cm and 16 cm, find the capacity of total surface area of the bucket. (Use π=227).
Slant height =L=√h2+(r1−r2)2
=√1024+576
=√1600=40
T.S.A=πl(r1+r2)+πr21+πr22
=227×40(56)+227×160+227×256
=22×22407+22×1697+22×2367
=49280+3520+56327
=564327
=8347.42 cm2