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The radius of a sphere is measured to be...

The radius of a sphere is measured to be `(2.1+-0.5)` cm. Calculate its surface area with error limits .

Text Solution

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The correct Answer is:
`(55.4 pm 26.4) cm^(2)`
Surface area of sphere = ` 4pi r^(2)`
`= 4xx 3.14 xx (2.1)^(2) = 55.3896 = 55.4 (3 SF)`
`Delta A = 2 (Delta r)/( r ) xxA = 2xx (0.5)/(2.1) xx 55.4 `
`" " = 26. 376 = 26.4 (3SF)`
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