Example 53
The radius of a sphere is measured as 24 cm with
an error of 0.01cm. Find (I) the approximate error (II) relative
error and (III) percentage error in calculating its volume.
Solution : If
r is the radius of the sphere, then its volume is
\
\
approximate error in volume (dv) =
\ when
r = 24 and dr = 0.01
Relative error =
Percentage error =
Example 54
The time T of a complete
oscillation of a simple pendulum of length l is given
by
, where g is a constant. If there is an error of 2% in the value
of l , find the
approximate error and percentage error in the calculated
value of T.
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