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  • The radius of sphere is measured to be cm. Suppose the percentage error in its volume is x:  The value of x, to the nearest x is_______ Option: 1 3

The radius of sphere is measured to be (7.50\pm 0.85)cm. Suppose the percentage error in its volume is x:  The value of x, to the nearest x is_______
Option: 1 34
Option: 2 78
Option: 3 43
Option: 4 17

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\begin{aligned} &\because v =\frac{4}{3} \pi r ^{3}\\ \\ &\text { taking } \log \& \text { then differentiate }\\\\ &\frac{ d V }{ V }=3 \frac{ dr }{ r }\\\\ &=\frac{3 \times 0.85}{7.5} \times 100 \%=34 \% \end{aligned}

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Deependra Verma

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