The volume of a cone is given by V = πr2h/3, where r is the radius of the base and h is the height. Assume the radius is 5 cm, measured with negligible uncertainty, and the height is h = 6.00 ± 0.02 cm. Estimate the volume of the cone, and find the uncertainty in the estimate.

Answer :

Step 1 of 2 :

Given, let V be the volume of the cone, V = ,

Where, r is the radius of the base and h be the height

We have to assume r = 5 cm, measure with negligible uncertainty, and the height if

h = 6.00 0.02 cm

The claim is to estimate the volume of the cone and the uncertainty in the estimate.