Applications Of Derivatives Question 312
Question: The radius of a sphere is measured to be 20 cm with a possible error of 0.02 of a cm. The consequent error in the surface of the sphere is
Options:
A) $ 10.5 $ sq cm
B) 5.025 sq cm
C) 10.05 sq cm
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ S=4\pi r^{2} $
$ \therefore \delta S=8\pi r\delta x=8\pi \times 20\times .02=10.05sq.cm. $
BETA
