Question

if the uncertainty in the volume of solid sphere is 6% than what is the uncertainty in the area
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Answer 1

Answer:

if the uncertainty in volume of a solid sphere is 6%,then the uncertainty in the surface area of sphere

Explanation:

if the uncertainty in volume of a solid sphere is 6%,then the uncertainty in the surface area of sphere

Answer 2

Answer:

The uncertainty in the surface area of solid sphere is 4%.

Explanation:

The formula of % uncertainty in $x^{n}$  is $n(\frac{\delta x}{x} )$%

Volume of the solid sphere   $V=\frac{4}{3}\pi r^{3}$

% uncertainty  in volume,  $\frac{\delta V}{V}*100 = 3(\frac{\delta r}{r}*100)$

                                  6%  $= 3(\frac{\delta r}{r}*100)$

   ∴   % uncertainty in radius,$(\frac{\delta r}{r}*100) =$ 3%

Surface area of sphere,  $S=4\pi r^{2}$

% uncertainty  in surface area,  $\frac{\delta S}{S}*100 = 2(\frac{\delta r}{r}*100)$

∴     % uncertainty  in surface area $=2*2=$ 4%