A cylinder bucket,32cm high and with radius of base 18cm, 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 24cm, Find the radius and slant height of the heap... ...
Answers
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Refer the attachment.
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hi mate
solution starts..
given ....A cylinder bucket,32cm high and with radius of base 18cm, is filled with sand .
If the height of the conical heap is 24cm,
so mate as we know if a solid object turn into another or then mate you find
if a thing which take a shape of one object turn into another object then there volume will be equal.
so mate take here pie = ¶
mate you know that
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
we get a radius and height
r =36 cm
h= 24 cm
hence mate...
slant height = √36×36+24×24
slant height = √1872
slant height=
√2×2×2×2×13×3×3
slant height = 12√13 cm
r =36 cm & slant height = 12√13 cm are the radius and slant height of the heap... ...
i hope mate it helpfull to you...