Mathematics
Two solid cylinders, one with diameter 60 cm and height 30 cm and the other with radius 30 cm and height 60 cm, are melted and recasted into a third solid cylinder of height 10 cm. Find the diameter of the cylinder formed.
Mensuration
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Answer
For new cylinder formed,
Let Radius = r
and
Volume = V
Height (h) = 10 cm (Given)
For 1st cylinder melted,
Diameter (d) = 60 cm
Radius (r1) = 30 cm
Height (h1) = 30 cm
Volume = V1
For 2nd cylinder melted,
Radius (r2) = 30 cm
Height (h2) = 60 cm
Volume = V2
Volume of new cylinder formed will be equal to the sum of two cylinders melted,
V = V1 + V2
Diameter = 2r = 2 x 90 = 180 cm.
Hence, diameter of new cylinder = 180 cm.
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