A cylindrical bucket having inner height and radius 32cm and 8cm respectively, is filled with sand. This bucket is emptied on a level ground and a conical heap of sand is formed. If the height of the conical heap is 24cm, find the radius and slant height of the heap.
1 answer:
Answer:
As we know if a solid object turn into another or if a thing which take a shape of one object turn into another object then there volume will be equal.
Take pie = ¶
volume of cylinder = volume of cone
¶×rsquare×h= 1/3¶r square h
18×18×32×3/24=r square
18×18×8×3/6= r square
18×18×4×3/3=r square
√18×18×2×2=r
18×2=r
r =36 cm
h= 24 cm
slant height = √36×36+24×24
slant height = √1872
slant height=
√2×2×2×2×13×3×3
slant height = 12√13 cm
Step-by-step explanation:
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