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The volume of an cylinder is given by the following expressionxdh V =where d and h are the diameter and height respectively. In a particular situation, the followin...

Question

The volume of an cylinder is given by the following expressionxdh V =where d and h are the diameter and height respectively. In a particular situation, the following values were obtainedd =10+1.0 CI r =8+0.5 CIUsing root sum square analysis, calculate the uncertainty in V. Express the answer as V =V f4V cm3

The volume of an cylinder is given by the following expression xdh V = where d and h are the diameter and height respectively. In a particular situation, the following values were obtained d =10+1.0 CI r =8+0.5 CI Using root sum square analysis, calculate the uncertainty in V. Express the answer as V =V f4V cm3



Answers

The volume $V$ of a right circular cylinder varies directly with the square of its radius $r$ and its height $h .$ The constant of proportionality is $\pi .$ See the figure. Write an equation for $V$

Were given that the volume of a right cylinder varies jointly with the square of the radius and its height? Were given that the constant of proportionality is pie, and we need to write an equation so various jointly, so we have V is equal to K, and we're going to multiply it to our square and H. So now we replace K with pie, so volume is equal to pi r squared H.

This problem. We have to use the formula for the volume of a cylinder and find the volume for a cylinder with the radius of four centimeters and a height of 14 centimeters. So plugging in you get V equals pi. Times R Squared four squared is 16 times the height, which is 14 16 times 14 is 224. So our answer is 224 high centimeters cubed and we're done.

In this question were given the dimensions of a cylinder, We're told that the radius is equal to 2.56 centimetres and the height. Yeah, I was cylinder Is equal to 56.32 centimetres in order to calculate the volume of a cylinder. The formula is pie, r squared h pi Is 3.14 one, uh 16 Mhm. The radius is 2.56 centimeters B squared times the height, 56.32 centimeters. To calculate this to the correct number of sig figs would report this to three Sig figs as the radius limits for calculation, and we'll get a volume of 1.16 times 10 to the third cubic centimeters for the volume of our cylinder To three significant figures.

In the question. We have to estimate people. Are you off this, Linda, About how acutely name B I spread it, The calculated from the measurement off and it that are in the other off one person. So now moving towards the solution. One name of this is that it's not goodbye food by audit. And the Dainius is still protected by by artists. Where or the area or is so Davey? They went toe dp Blessed be h b. Yet there s Davey. Bye bye. DP less by square the edge on I already spread at one of the No Diaz by they would be less than that one. And the edge 200 then So the percentage Jeter, come on. We all 3% and this will live on the land for the question. Thank you.


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