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

Chapter 3, Problem 3E

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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 6 cm, measured with negligible uncertainty, and the radius is \(r=5.00 \pm 0.02 \mathrm{~cm}\). Estimate the volume of the cone, and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

V={pi}r^2h/3

r=5.00{+/-}0.02 cm

Questions & Answers

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 6 cm, measured with negligible uncertainty, and the radius is \(r=5.00 \pm 0.02 \mathrm{~cm}\). Estimate the volume of the cone, and find the uncertainty in the estimate.

Equation Transcription:

Text Transcription:

V={pi}r^2h/3

r=5.00{+/-}0.02 cm

ANSWER:

Solution:

Step 1of 3:

The volume of a cone is given by V= , where r is the radius of the base and h is the height. Here the height is 6 cm and the radius r = 5.000.02 cm. We have to find the volume of the cone and the uncertainty in the estimate.


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