a cylindrical bucket 32cm I with radius of base 14 cm is filled with sand this bucket is emptied on the ground and a conical heap of sand is formed if the height of the conical heap is 24 cm then find the radius and slant height of the heap
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when sand of bucket (cylinder) is emptied on ground and a conical heap is formed then , their volume are equal.
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volume of cylinder = volume of cone
πR²H = πr²h/3
14*14*32 = r²*24/3
r² = 14*14*32/8
r = 28 cm
l = √R²+H²
l = √576+784
l = √1360
l = √4*4*5*5*3
l = 20√3 cm
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