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Let the radius of the heap be r and the slant height h,

So, we have

Height of the cylindrical bucket = 32cm

Radius of the base of cylindrical bucket = 18cm

Height of the conical heap = 24cm

Volume of cylinder = volume of cone

πr2h =  r2 = 18 × 8 × 4

r = 18 × 2

r = 36cm

slant height l =    l = 43.27cm

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