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Solved: The volume of a cone is given by V = ?r2h/3, where
Chapter 3, Problem 4E(choose chapter or problem)
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 radius is 5 cm, measured with negligible uncertainty, and the height is \(h=6.00 \pm 0.02 \mathrm{~cm}\). Estimate the volume of the cone, and find the uncertainty in the estimate.
Equation Transcription:
Text Transcription:
V={pi}r^2h/3
h=6.00{+/-}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 radius is 5 cm, measured with negligible uncertainty, and the height is \(h=6.00 \pm 0.02 \mathrm{~cm}\). Estimate the volume of the cone, and find the uncertainty in the estimate.
Equation Transcription:
Text Transcription:
V={pi}r^2h/3
h=6.00{+/-}0.02 cm
ANSWER:
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.