a girl empties cylindrical bucket full of sand of base radius 18 cm and height 32 CM on the floor to form a conical heap of sand if the height of this conical heap is 24 cm then find its slant height connected to one place of that decimal
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Volume of sand = πr^2h
= 22/7×18×18×32
= 32585.1429
Volume of cylindrical bucket will be equal to the Volume of heap so formed.
Therefore, Volume of conical heap= 1/3πr^2h
Thus, 1/3×22/7×r^2×h= 32585.1429
r^2 = 32585.1429×7×1/22×1/8
r = √1296
r = 36 cm.
l = √r^2+h^2 (Whole Root)
= √1296+576
= √1872
l = 43.26
Since, we have to find its value to one place of decimal, the answer will be 43.3cm.
I HOPE IT HELPS YOU!
= 22/7×18×18×32
= 32585.1429
Volume of cylindrical bucket will be equal to the Volume of heap so formed.
Therefore, Volume of conical heap= 1/3πr^2h
Thus, 1/3×22/7×r^2×h= 32585.1429
r^2 = 32585.1429×7×1/22×1/8
r = √1296
r = 36 cm.
l = √r^2+h^2 (Whole Root)
= √1296+576
= √1872
l = 43.26
Since, we have to find its value to one place of decimal, the answer will be 43.3cm.
I HOPE IT HELPS YOU!
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68
Hope this would be more easier to you
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