The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter.
Question:
The radius of a sphere is measured as 9 centimeters, with a possible error of 0.025 centimeter.
(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).
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
a b c Perc...View the full answer
Answered By
Lamya S
Highly creative, resourceful and dedicated High School Teacher with a good fluency in English (IELTS- 7.5 band scorer) and an excellent record of successful classroom presentations.
I have more than 2 years experience in tutoring students especially by using my note making strategies.
Especially adept at teaching methods of business functions and management through a positive, and flexible teaching style with the willingness to work beyond the call of duty.
Committed to ongoing professional development and spreading the knowledge within myself to the blooming ones to make them fly with a colorful wing of future.
I do always believe that more than being a teacher who teaches students subjects,...i rather want to be a teacher who wants to teach students how to love learning..
Subjects i handle :
Business studies
Management studies
Operations Management
Organisational Behaviour
Change Management
Research Methodology
Strategy Management
Economics
Human Resource Management
Performance Management
Training
International Business
Business Ethics
Business Communication
Things you can expect from me :
- A clear cut answer
- A detailed conceptual way of explanation
- Simplified answer form of complex topics
- Diagrams and examples filled answers
4.90+
46+ Reviews
54+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The radius of a sphere is measured to be about 10 inches. Determine a tolerance S in this measurement that will ensure an error of less than 0.01 square inch in the calculated value of the surface...
-
The diameter of a sphere is measured as 20 0.1 centimeters. Calculate the volume and estimate the absolute error and the relative error (see Example 4).
-
In Problems 1-2, use differentials to approximate the given number (see Example 2). Compare with calculator values. 1. 402 2. 35.2
-
Why does Erasmus attack Church officials in his In Praise of Folly? O For spending money on lavish art O For not allowing clergy to marry O For supporting military campaigns O For selling pardons and...
-
A large window measures 2.0 m by 3.0 m. At what rate will heat be conducted through the window when the room temperature is and the outside temperature is if (a) The window consists of a single pane...
-
What is future value and how is it calculated?
-
A distillation column with \(6.0 \mathrm{ft}\) of packing can be operated as a stripper with liquid feed, as an enricher with vapor feed, or at total reflux. We are separating methanol from...
-
On January 2, 2012, Cruz Company bought a machine for use in operations. The machine has an estimated useful life of eight years and an estimated residual value of $2,600. The company provided the...
-
Operations Managers alter all the following to meet the demand, EXCEPT: Question 1 options: Capacity / Personnel Cash - Flow Production / Service Inventory
-
I need help to determine what is the point group of Mn2(CO)10 that is eclipsed. I am confused due to the Mn-Mn bond Mn EO -Mn- =0
-
A company finds that the demand for its commodity is where p is the price in dollars and x is the number of units. Find and compare the values of p and dp as x changes from 7 to 8. P = 75 1 4 -X
-
In Exercises, find the differential dy of the given function. y = 36x
-
What are the differences between imitation, incremental, and radical innovation strategies? How can you assess which one is right for your business?
-
What is China size of its economy, population, its major manufactured commodities, and its top two imported and two exported commodities. Data: Roots of Comparative Advantage: Use data, graphs,...
-
Table 1 shows information for exchange rates and price indexes for different countries and for the U.S. Country Currency Table 1 Currency per U.S. Price U.S. Dollar Index Country Price Index Bolivia...
-
Huron Company produces a cleaning compound known as Zoom. The direct materials and direct labor standards for one unit of Zoom are given below: Direct materials Direct labor Hours Standard Quantity...
-
Variable costing income statement Sports Drinks, Inc. began business in the current year selling bottles of a thirst-quenching drink. Production for the first year was 249,600 bottles, and sales were...
-
Blossom Company has recorded the following items in its financial records: Cash in bank $49,000 Cash in plant expansion fund 104.200 Cash on hand 14,900 Highly liquid investments 36,800 Petty cash...
-
Let A and B be convex subsets in a finite-dimensional normed linear space X. A and B can be strongly separated if and only if P(A, B) = inf{||x - y|| : x A, y B} > 0 Combining proposition 3.14 with...
-
What kind of financial pressures can an LBO cause?
-
The EZ Construction Company is offered a $ 20,000 contract to build a new deck for a house. The companys profit if it does not have to sink piers (vertical supports) down to bedrock will be $ 4,000....
-
By next year, a stock you own has a 25% chance of being worth $ 400 and a 75% probability of being worth $ 200. What are the expected value and the variance? 1.5.
-
What is the differenceif anybetween an individual gambling at a casino and gambling by buying a stock? What is the difference for society?
-
You are considering a stock investment in one of two firms (LotsofDebt, Incorporated and LotsofEquity, Incorporated), both of which operate in the same industry. LotsofDebt, Incorporated finances its...
-
Blooper Industries must replace its magnoosium purification system. Quick & Dirty Systems sells a relatively cheap purification system for $16 million. The system will last 4 years. Do-It-Right sells...
-
3 2 points Problem 7-1 (LO7.1) Based on the following data, calculate the items requested: Rental Costs Annual rent Buying Costs eBook Hint Print References $ 8,080 Annual mortgage payments Insurance...
Study smarter with the SolutionInn App