Q. 203.6( 12 Votes )

The dimensions of

Answer :

For Cuboid,


Length, l = 4.4 m


Breadth, b = 2.6 m


Height, h = 1 m


As we know,


Volume of cuboid = lbh


Where l, b and h are length, breadth and height of cuboid respectively.


Volume of given cuboid, V = 4.4(2.6)(1) = 11.44 m3


For cylindrical pipe that is recast from hemisphere,


Inner radius, r = 30 cm = 0.3 m [As, 1 m = 100 cm]

Outer radius, R = 30cm + 5cm = 35cm = 0.35m

Let the length of pipe(or height) = h


We know that,


Volume of hollow cylinder = π(R2 - r2)h

Volume of hollow cylinder = π [(0.35)2 - (0.30)2] × h = π. 0.032h


As the volume remains same, when a body is reformed to another body


Volume of cuboid = Volume of pipe


11.44 = 0.032πh


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