Question

calculate the volume of a cuboid box and compare it with the volume of cylindrical box of same high ​

Answer 1

volume of cuboid (v1) = l x b x h

Where, l = length ; b = breadth & h = height

And, volume of cylinder (v2) = πr²h

Where, r = radius of base ; h = height

Now if both of them have same height.

v1 = l x b x h

→ h = v1/(lb) ______ ( i )

Now, v2 = πr²h

v2 = πr²(v1/lb) (from i )

v2 = v1(πr²/lb)

Hence, v2/v1 = πr²/lb ________(Ans.)

Hope it helps.

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