The volume of a solid cylinder is calculated using the relation V = r^2 h . If the radius r is measured as (2.0 0.02) cm and the height h is measured as (5.0 0.1) cm , the maximum percentage error in the calculated volume is:

Step-by-step solution

The volume of a solid cylinder is given by V = r^2 h . The maximum percentage error in the volume is given by: V V 100 = ( 2 r r + h h ) 100 Given values are: r = 2.0 cm , r = 0.02 cm h = 5.0 cm , h = 0.1 cm Substituting these values into the error formula: V V 100 = ( 2 0.02 2.0 + 0.1 5.0 ) 100 V V 100 = (2 0.01 + 0.02) 100 V V 100 = (0.02 + 0.02) 100 = 0.04 100 = 4 % Answer: 4 %