Question

3. The volume of a cylinder is given by V 2.10 Tr2I, where r is the radius and l is the length of 0.05 cm, and I 3.40t 0.05 cm, determine the the cylinder. If we measure uncertainty in volume. Show your calculation [Hint: Use Equation 4] 12 Points). d r

Answer 1

3.

V = $\pi$r²l

given that : r = 2.10 cm   and l = 3.40 cm

inserting the values

V = (3.14) (2.10)²(3.40)

V = 47.08 cm³

Also , $\Delta$r = $\pm$0.05 cm    and $\Delta$l = $\pm$0.05 cm

$\Delta$V/V = $\pm$ ((2$\Delta$r/r) + ($\Delta$l/l))

$\Delta$V/47.08 = $\pm$ ((2 x 0.05/2.10) + (0.05/3.40))

$\Delta$V = $\pm$ 2.93 cm³