Using a slide callipers, the length and radius of a cylinder are measured as 4.54 cm and 1.75 cm , respectively. Compute the volume of the cylinder.

Step-by-step solution

The volume of a cylinder is given by the formula V = r^2 l Substituting the given values, r = 1.75 cm and l = 4.54 cm : V = (1.75)^2 4.54 V = 3.1416 3.0625 4.54 = 43.682 cm ^3 Since the measured quantities r and l both have 3 significant figures, the final result must be rounded off to 3 significant figures. Rounding off 43.682 to 3 significant figures, we get 43.7 cm ^3 .