. A cylindrical bucket 32cm high and with base diameter 36cm is filled
with wheat. This bucket is emptied on the ground and a conical heap is
formed. If the height of the conical heap is 24cm, find the radius and the
slant height of the heap.
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Answer:
12√13
Step-by-step explanation:
As we know if a solid object turns into another or if a thing that take a shape of one object turn into another object then their volume will be equal.
Take pie = ¶
the volume of cylinder = volume of a 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
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