a cuboid having dimensions 16m*11m*8m is melted to form a cylinder of radius 4m what is the height of the cylinder
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Answered by
40
volume of cuboid = Volume of Cylinder
L×B×H = πr2h
16×11×8 = 22/7×4×4×h
16×11×8×7/22×1/4×1/4 = h
28m = h
height of cylinder is 28m.
L×B×H = πr2h
16×11×8 = 22/7×4×4×h
16×11×8×7/22×1/4×1/4 = h
28m = h
height of cylinder is 28m.
Answered by
26
Dear Student,
◆ Answer -
Height of the cylinder = 28 m.
● Explanation -
Volume of the cuboid is given by -
Volume of cuboid = l × b × h
Volume of cuboid = 16 × 11 × 8
Volume of cuboid = 1408 m^3
This cuboid is melted into cylinder.
volume of cuboid = volume of cylinder
1408 = πhr^2
1408 = 3.142 × h × 4^2
h = 1408 / (3.142 × 4^2)
h = 28 m
Hence, height of the cylinder is 28 m.
Thanks dear. Hope this helps you...
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