Problem 2E

The volume of a cone is given by V = πr2h/3, where is the radius of the base and h is the height Assume the height is measured to be h = 6.00 ± 0.01 cm and the radius is r = 5.00 ± 0.02 cm.

a. Estimate the volume of the cone, and find the uncertainty in the estimate.

b. Which would provide a greater reduction in the uncertainty in V: reducing the uncertainty in r to 0.005 cm or reducing the uncertainty in r to 0.01 cm?

Solution

Step 1 of 4

Volume of the cone given by V=

The height is measured to be h=6.000.01 cm

From this h=6,

The radius is measured to be r=5.000.02 cm

From this r=5,