Question

#1. What, roughly, is the percent uncertainty in

Answer 1

The  uncertainty in the volume measurement of the spherical beach ball is 0.011%.

The given parameters;

the radius measurement , r = 0.846 ± 0.04 m

first radius = 0.846 m

second radius = 0.04 m

The volume of a sphere is given as;

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

The volume of the sphere with the measurement ;

$V=\frac{4}{3} \pi r^3\\\\V_1 = \frac{4}{3} \pi \times (0.846)^3\\\\V_1 = 2.537 \ m^3$

The volume of the sphere with the absolute uncertainty;

$V=\frac{4}{3} \pi r^3\\\\V_2 = \frac{4}{3} \pi \times (0.04)^3\\\\V_2 = 0.000268 \ m^3$

The uncertainty in the volume measurement is calculated as;

$\% \ uncertainty = \frac{absolute \ uncertainty }{measurement} \times 100\%\\\\\% \ uncertainty = \frac{0.000268}{2.537} \times 100\%\\\\\% \ uncertainty = 0.011 \ \%$

Thus, the  uncertainty in the volume measurement of the spherical beach ball is 0.011%.

Learn more her: brainly.com/question/12742671