Question

एक घन की भुज मापने मे 2% की त्रुटि होती है घन के आयतन के परिकलन मे कितने % त्रुटि होगी?

Answer 1

Answer:

Please write in English

Answer 2

The question in English is :

There is an error of 2% in measuring the sides of a cube, what will be the% error in the calculation of the volume of the cube?

Given that,

The error in measuring the sides of a cube is 2 %.

To find,

The error in calculating the volume of the cube.

Solution,

Let l is the length of the cube. The volume of the cube is given by :

$V=l^3$

ATQ, $\dfrac{\Delta l}{l}=2\%$

So,

$\dfrac{\Delta V}{V}=3\dfrac{\Delta l}{l}\\\\\dfrac{\Delta V}{ V}=3\times 2\\\\\dfrac{\Delta V}{V}=6\%$

So, the error in the volume of cube is 6%.

Learn more,

Percentage error

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