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| PAGE: 237 | SET: Exercises | PROBLEM: 30 |
(a)
Radius of a spherical baloon is 
and the possible error is 
.
The volume of a sphere is 
.
Since the possible error is 
, 
.
Consider 
.
Differentiate the above equation with respect to 
.
Substitute 
and 
in above equation.
(b)
Radius of a spherical baloon is 
and the possible error is .
The surface area of a sphere is 
.
Since the possible error is , 
.
Consider 
.
Differentiate the above equation with respect to 
.
Substitute 
and 
in above equation.
(c)
Relative error for the volume of the sphere is 
.
Relative error for the surface area of the sphere is 
.
(a)
.
(b)
.
(c)
Relative error for the volume of the sphere is 
.
Relative error for the surface area of the sphere is 
.
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