Question

the radius of the planet Mars is measured to be 3350 km , with a measurement error of plus or minus 100 km. What is the percent error when calculating the volume of the planet? Round your answer to 2 decimal places

Answer 1

$Radius = 3350±100\\ \pi= 3350\\ Δ \pi= 100\\ V= \frac{4}{3} \pi r^2\\ \frac{Δ V}{V}*100=3(\frac{Δr}{r} *100)\\ \% error \space in \space V= \frac{Experimental \space value-Accepted \space value}{Experimental \space value}\\ = 3*\frac{100}{3350}*100\\ = 8.95 \%$