Question

Error in the measurement of radius of a sphere is 1%. The error in the calculated value of its volume is

• A. (a) 1%
• A. (b) 3%
• A. (c) 5%
• A. (d) 7%

Answer 1

(b)

Sol. $\because V = \frac { 4 } { 3 } \pi r ^ { 3 }$

∴ % error is volume $= 3 \times \%$ error in radius

$= 3 \times 1$ = 3