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15. [-/4 Points]DETAILSLARCALCTI 3.9.508.XP_MY NOTESASK YOUR TEACHERPRACTICE ANOTHERThe radius spherical balloon Measuredi 20 inches, with possible ertor (a) Calcul...

Question

15. [-/4 Points]DETAILSLARCALCTI 3.9.508.XP_MY NOTESASK YOUR TEACHERPRACTICE ANOTHERThe radius spherical balloon Measuredi 20 inches, with possible ertor (a) Calculate the volume the sphere.0.05 inch: Use differentials approximate the maximum possible error in calculating the folloiing:ettor(b) Calculate the Sumaceof the sphere:ettor(c) Calculate the relative errors Vomm epans (a) and (b)surface areaNeed Help?RaJiSubnt Answer

15. [-/4 Points] DETAILS LARCALCTI 3.9.508.XP_ MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER The radius spherical balloon Measuredi 20 inches, with possible ertor (a) Calculate the volume the sphere. 0.05 inch: Use differentials approximate the maximum possible error in calculating the folloiing: ettor (b) Calculate the Sumace of the sphere: ettor (c) Calculate the relative errors Vomm e pans (a) and (b) surface area Need Help? RaJi Subnt Answer



Answers

Volume and Surface Area The radius of a spherical balloon is measured as 8 inches, with a possible error of 0.02 inch.
(a) Use differentials to approximate the possible propagated error in computing the volume of the sphere.
(b) Use differentials to approximate the possible propagated error in computing the surface area of the sphere.
(c) Approximate the percent errors in parts (a) and (b).

Hello, everyone. Today we are going to solve for the number 33 get a party's vehicle toe for by three by our cube. Here are equal tow it that is minus 0.0 to less than or equal to that are less than or equal to 0.0. So V is equal toe for by three by our cube Devi, but they are equal to three into four by three into by a square so D V equal do for by a square. Dear Devi, Equal toe for pie. It's square end of plus or minus 0.2 Davey equals off, plus or minus 16.85 I'll be part of the question is Yahiko toe for by a square our Ricardo ache minus 0.0 to less than or equal to delta, less than or equal to 0.2 the year. But the are yes, it kowtow to window for pie in do our the photo eight by our the are the cardio a bite in the eight in the plus or minus 0.2 the Kyoto plus or minus 4.21 Yeah, Oh, see particles d r by r D v by d or sorry with physical toe for by a square They are They were by for my three by our cube so d v. But the D V by vehicle tow three The re by our d v by D Equal do three in Duke, plus or minus 0.2 whole. Liberated by eight d v by vehicle tow plus or minus 0.75 dear. But yet it could tow eight. Why are they are? They were only for by us what? And the by the recorder eight by our they are divided by for by a squad for yeah my e equal Do toe the our by our the by a equal toe window plus or minus 0.2 Do it by eight the by a equal toe plus or minus zero point. That was five. Thank you

Okay, So you want to find the exact surface area and volume of the sphere. And so, for the first year, we have a radius of six or surface area. That formula is going to be or pa times the radius squared. And so we're gonna have worked Town six squared, which is going to give us a total of assumes. I find calculator or times X squared is going to give us 100 and 40. Or that would be our exact answer for the volume. We're gonna get the formula 4/3. Why are cute. So this time we're gonna multiple on 4/3 times six to the third, and we do that. We're going to get a volume of 288 Yeah.

Question to you. We have a diameter of 18 which means that our radius is nine. So if we want to find the surface area, we're gonna use the formula for, uh are square, since our radius is none, that is, or five times non square. And if we multiply forward, times nine squared, we're gonna get 324 for our surface area. For volume are formula is 4/3. Pa are cute. And so if the radius is nine, we have 4/3 times non Q and it would do 4/3 times nine to the third power. We're gonna get 972.

In question three. They tell us that diameter is one. That means the radius is 1/2. No. And so if we want to find the surface area, that formula is for R squared. And so we're going to get four power times, 1/2 squared, which is going to give us four times one have squared is gonna give us one, and so are surface area is just Ah, our volume will be 4/3. Uh, are the third this time. And so if the radius is 1/2 then we have 4/3 part time. One have huge. So if we want to buy that, we're gonna get 16


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