Question

The radius of a sphere is measured by a vernier calipers as 2.25 cm +- 0.01 cm ,the volume comes 47.7 cm3 , find the uncertainty.
Its answer is 0.03
Plz solve kereke btaen kese 0.03 ans ata hai plz really i need u

Answer 1

volume of sphere = 4/3 πr^3
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GIVEN ...

r = radius = 2.25 cm +- 0.01 cm

volume comes to be...

V= 4/3. × 22/7. × (2.25)^3 = 47.7 cm^3
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we know that ...
uncertainty = error
in such problems where we have terms raised to certain power we calculate the uncertainty as.....
∆v/v. = 3 × ∆r/r
=>∆v/v = 3× 0.01/2.25
=>∆v = 3× 1/225. × v
=> ∆v = 3×1/225 × 47.7
=> ∆v= 0.636