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

Chapter 3, Problem 4E

(choose chapter or problem)

Get Unlimited 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

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.


Add to cart


Study Tools You Might Need

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back