The volume of a cone is given by V = ?r2h/3, where is the

QUESTION:

The volume of a cone is given by \(V=\pi r^{2} h / 3\), where r is the radius of the base and h is the height. Assume the height is measured to be \(h=6.00 \pm 0.01 \mathrm{~cm}\) and the radius is \(r=5.00 \pm 0.02 \mathrm{~cm}\).

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 h to 0.005 cm or reducing the uncertainty in r to 0.01 cm?

Equation Transcription:

Text Transcription:

V={pi}r^{2}h/3

h=6.00{+/-}0.01 cm

r=5.00{+/-}0.02 cm