Question

Diameter of sphere is measured as 1.71cm with an instrument of least vount of 0.01 cm what is the percent age error in surface area of sphere

Answer 1

answer- 2%

explanation -2 percent. Area varies as r^2, and (1+0.01)^2 ~ 1+0.02, by the binomial theorem.

(1+x)^n = 1 + n*x + n*(n-1)*x^2/2! + n*(n-1)(n-2)*x^3 /3!………

So when n*x << 1, (1+x)^n = 1 + n*x. This is often very useful in simplifying formulas.

Answer 2

here's the answer ....

0.2 percent