A metal cistern in the shape of a right circular cylinder with volume V = 50 m
Question:
A metal cistern in the shape of a right circular cylinder with volume V = 50 m3 needs to be painted each year to reduce corrosion. The paint is applied only to surfaces exposed to the elements (the outside cylinder wall and the circular top). Find the dimensions r and h of the cylinder that minimize the area of the painted surfaces.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
The volume of the cistern is r 2 h so our constraint is r 2 h 50 ...View the full answer
Answered By
ANDREW KIPRUTO
Academic Writing Expert
I have over 7 years of research and application experience. I am trained and licensed to provide expertise in IT information, computer sciences related topics and other units like chemistry, Business, law, biology, biochemistry, and genetics. I'm a network and IT admin with +8 years of experience in all kind of environments.
I can help you in the following areas:
Networking
- Ethernet, Wireless Airmax and 802.11, fiber networks on GPON/GEPON and WDM
- Protocols and IP Services: VLANs, LACP, ACLs, VPNs, OSPF, BGP, RADIUS, PPPoE, DNS, Proxies, SNMP
- Vendors: MikroTik, Ubiquiti, Cisco, Juniper, HP, Dell, DrayTek, SMC, Zyxel, Furukawa Electric, and many more
- Monitoring Systems: PRTG, Zabbix, Whatsup Gold, TheDude, RRDtoo
Always available for new projects! Contact me for any inquiries
4.30+
1+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
An 18-oz jar of peanut butter in the shape of a right circular cylinder is 5 in. high and 3 in. in diameter and sells for $2.89. In the same store, a 28-oz jar of the same brand is 5 1/2 in. high and...
-
Water is flowing into a barrel in the shape of a right circular cylinder at the rate of 200 in3/min. If the radius of the barrel is 18 in., at what rate is the depth of the water changing when the...
-
A metal storage tank with volume V is to be constructed in the shape of a right circular cylinder surmounted by a hemisphere. What dimensions will require the least amount of metal?
-
Lacoste t-shirts come with an average price of $ 120 a piece, at their factory outlet with a std. deviation of $ 17. But at the Seasonal Sale (Discount) outlets of these t- shirts, it was also...
-
A call option is currently selling for $3.90. It has a strike price of $45 and five months to maturity. The current stock price is $47, and the risk-free rate is 4 percent. The stock will pay a...
-
Suspect Company issued $600,000 of 9 percent first mortgage bonds on January 1, 20X1, at 103. The bonds mature in 20 years and pay interest semiannually on January 1 and July 1. Prime Corporation...
-
Someone argues that you shouldnt drink tap water because it contains hundreds of molecules of some impurity in each glass. How would you respond in defense of the waters purity, if it indeed does...
-
The individual financial statements for Gibson Company and Keller Company for the year ending December 31, 2011, follow. Gibson acquired a 60 percent interest in Keller on January 1, 2010, in...
-
In reviewing a patients CBC results, the laboratory professional notes an MCHC of 37 g/dL Option. What corrective action should be taken? The laboratory professional observes that the 3 Option.2%...
-
Sketch 1H NMR spectra for the following compounds. Estimate chemical shifts (see Section 10-4) and show the proper multiplets for peaks that exhibit spin spin coupling. (a) CH 3 CH 2 OCH 2 Br; (b)...
-
Consider the function f(x) = x 5 + 4x 4 + x 3 - 10x 2 - 4x + 8, which has zeros at x = 1 and x = -2. Apply Newtons method to this function with initial approximations of x 0 = -1, x 0 = -0.2, x 0 =...
-
Evaluate the following limits. 1 e* lim |0 5x2
-
Environmentalists and others have long pointed out the waste caused by the excess use of paper and plastic in packaging U.S. goods. In recent years, some companies have worked to reduce the amount of...
-
Below you will find the list of accounts of Limo Belle Services Inc. (in Canadian dollars) September 30, 2012 September 30, 2011 Accumulated Depreciation - limousines Depreciation Expense -...
-
Being first in the industry gives the pioneer added advantages to market share and potential growth. As an example, Nokia retained the top position in the mobile industry courtesy of pioneer or...
-
A taxpayer can avoid a substantial understatement of tax penalty: if the position is frivolous and disclosed on the tax return. if the position has a realistic possibility of being sustained by the...
-
I have a scenario and question to study for the exam and i do nott know how to answer that. will you please help me. Scenario: The day before a scheduled surgery, Counselor Sam and Isaiah meet for...
-
A current of 2.37 A flows through the windings of a large, thin toroid with 245 total turns and a radius of 134.3 cm. The iron core of the toroid has a magnetic susceptibility of 3.16 x 103. What is...
-
Goal Systems, a business consulting firm, engaged in the following transactions: a. Issued common stock for $75,000 cash. b. Borrowed $35,000 from a bank. c. Purchased equipment for $12,000 cash. d....
-
On October 31 Juanita Ortega, owner of Outback Guide Service, received a bank statement dated October 30. Juanita found the following: 1. The checkbook has a balance of $2,551.34. 2. The bank...
-
Find the derivative of the function. g(t) = 1/(2t + 1) 2
-
Differentiate the function. V(t) = t 3/5 + t 4
-
Prove the identity. cosh( x) = cosh x (This shows that cosh is an even function.)
-
Income and Expenses Salary Employees' Provident Fund (EPF) 1. Particulars regarding John and his wife are as follows: Wife RM25,000 RM2,000 John RM85,000 RM6,000 LIP RM3,500 RM1,200 Books and...
-
A company has a marketing budget of $100,000 and wants to allocate it across different marketing channels. They want to spend 40% on online advertising, 30% on social media marketing, and the...
-
Compute SUTA and FUTA semimonthly payroll taxes general journal entry for this pay period. Show all calculations. Include both debits only. FUTA is .006 on 1st 7k of wages. SUTA is 2.6% on 1st...
Study smarter with the SolutionInn App