Question

If the radius of sphere is measured as 7 m with an error of 0.02 m, then the approximate error in calculating its volume is

• A. 39.2 π m²
• B. 392 π m³
• C. 3.92 π m³
• D. 3.92 π m²

Answer 1

The correct option is C

3.92 π m³

$\delta V\simeq \frac{dv}{dr}\delta r$

$=\left(4\pi r^2\right)\delta r$

$=3.92$