Let V be the volume of a can of radius r and height h, and let S
Question:
Let V be the volume of a can of radius r and height h, and let S be its surface area (including the top and bottom).
Find r and h that minimize S subject to the constraint V = 54π.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (2 reviews)
The volume of the can is Vrh rh and its surface area is S rh 2r 2rh We want to minimize S ...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The shape of a bacterium can be approximated by a cylinder of radius r and height h capped on each end by a hemisphere. The volume and surface area of the bacterium are given by It is known that the...
-
In Exercises 52 through 56, you need to know that a cylinder of radius r and height h has volume V = r 2 h and lateral (side) surface area S = 2rh. A circular disk of radius r has area A = r 2 . A...
-
In Exercises 52 through 56, you need to know that a cylinder of radius r and height h has volume V = r 2 h and lateral (side) surface area S = 2rh. A circular disk of radius r has area A = r 2 . A...
-
Millennium Textiles Company makes silk banners and uses the weighted-average method of process costing. Direct materials are added at the beginning of the process, and conversion costs are added...
-
The chemical reactor shown below has a cover (called a head) that is held in place by a series of bolts. The head is made of stainless steel (SG = 8.0), is 3 in. thick, has a diameter of 24 in., and...
-
For the following reactions at constant pressure, predict if H . E, H , E, or H = E. a. 2HF(g) H2(g) + F2(g) b. N2(g) + 3H2(g) 2NH3(g) c. 4NH3(g) + 5O2(g) 4NO(g) + 6H2O(g)
-
Explain the concept of financial leverage. What causes financial leverage to be favorable? Unfavorable? LO.1
-
(a) Mylar Corporation has collected the following information related to its December 31, 2017, balance sheet. Accounts receivable .................................................... $22,000...
-
EX . 6 - 4 Capital projects funds account for construction expenditures, not for the assets that are being constructed. The Wickliffe City Council authorizes the restoration of the city library. The...
-
Show that for both of the following two problems, P = (r, h) is a Lagrange critical point if h = 2r: Minimize surface area S for fixed volume V. Maximize volume V for fixed surface area S . Then...
-
In a contest, a runner starting at A must touch a point P along a river and then run to B in the shortest time possible (Figure 17). The runner should choose the point P that minimizes the total...
-
What basic protections of criminal procedure do the Fourth, Fifth, Sixth, and Eighth Amendments provide?
-
See US Debt Clock and answer the following: (Hint: Take a screenshot of the Debt Clock) (2) A. What is the current US deficit and the total federal debt? (1) B What is the net interest...
-
GASB states that public colleges and universities are special purpose governmentsand therefore accountable to the citizenry (Hoyle, 2015). Furthermore, GASB found that for public colleges and...
-
You have recently been assigned to the production planning department within your company. Your firm makes large blades for power generation windmills. The windmills are mostly used in the western...
-
Jason Ready attended the University of Ohio from 2 0 1 9 to 2 0 2 3 under the Air Force ROTC program. Excluding the school expenses covered by his ROTC scholarship, he incurred additional school...
-
Questions Chap 1 1. Consider the following cases and decide whether criminal or civil proceedings would result, and make a note of the parties in the action. a) Ali is being prosecuted for careless...
-
Find the zeros of the polynomial function and state the multiplicity of each? 1. f (x) = (x2 - 10x + 25)3 2. h(x) = 2x3 + x2 - 50x - 25. 3. g(x) = x4 - 3x2 + 2.
-
Tanaka Company's cost and production data for two recent months included the following: March April Production (units).........300................600 Rent.....................$1,800............$1,800...
-
Graph each function. Use the graph to find the indicated limit, if it exists. lim f(x), f(x) = 1 x
-
Graph each function. Use the graph to find the indicated limit, if it exists. lim f(x), f(x) = x 1 || x-1
-
Graph each function. Use the graph to find the indicated limit, if it exists. lim f(x), f(x) = |2x| x-3
-
What is the present value of $500 invested each year for 10 years at a rate of 5%?
-
GL1203 - Based on Problem 12-6A Golden Company LO P2, P3 Golden Corp.'s current year income statement, comparative balance sheets, and additional information follow. For the year, (1) all sales are...
-
A project with an initial cost of $27,950 is expected to generate cash flows of $6,800, $8,900, $9,200, $8,100, and $7,600 over each of the next five years, respectively. What is the project's...
Study smarter with the SolutionInn App