Question

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

• A. $1\%$
• B. $3\%$
• C. $5\%$
• D. $7\%$

Answer 1

Answer: (B)

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

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

$=3\times 1=3\%$