The total surface area, A cm2, of a cylinder with a fixed volume of 1000 cm3 is
Question:
The total surface area, A cm2, of a cylinder with a fixed volume of 1000 cm3 is given by the formula
where x cm is the radius. Show that when the rate of change of the area with respect to the radius is zero, x3 = 500/π
Transcribed Image Text:
A = 2πx² + 2000 X
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 0% (3 reviews)
To find the critical points of the surface area function Ax with respe...View the full answer
Answered By
Aketch Cindy Sunday
I am a certified tutor with over two years of experience tutoring . I have a passion for helping students learn and grow, and I firmly believe that every student has the potential to be successful. I have a wide range of experience working with students of all ages and abilities, and I am confident that I can help students succeed in school.
I have experience working with students who have a wide range of abilities. I have also worked with gifted and talented students, and I am familiar with a variety of enrichment and acceleration strategies.
I am a patient and supportive tutor who is dedicated to helping my students reach their full potential. Thank you for your time and consideration.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
A solid cylinder with radius x cm has a volume of 1000 cm. a) Show that the total surface area of the cylinder is given by A = 2x + 2000/x. b) Find the minimum total surface area. Give your answer to...
-
A vertical cylinder 30 cm high and 30 cm in diameter is maintained at a surface temperature of 43.3oC while submerged in water at 10oC. Calculate the heat lost from the total surface area of the...
-
The basic function of the carburetor of an automobile is to atomize the gasoline and mix it with air to promote rapid combustion. As an example, assume that 30.0 cm3 of gasoline is atomized into N...
-
Give parametric equations and parameter intervals for the motion of a particle in the xy-plane. Identify the particles path by finding a Cartesian equation for it. Graph the Cartesian equation....
-
Investors should avoid Hong Kong, given its problematic outlook now that Britain has surrendered the colony to China. Comment.
-
Of the many unique and unusual animals that inhabit the rainforests of South America, including howler monkeys, freshwater dolphins, and deadly piranhas, one stands out because of its mastery of...
-
IPW, Inc., began operations on January 1, 2010. The seven transactions recorded during January by the company accountant, are shown in the following T-accounts: Complete the following table. For each...
-
Review the Comprehensive Annual Financial Report (CAFR) that you obtained. 1. What are three main sections of the report? 2. Review the introductory section of the CAFR. a. Was the entitys annual...
-
At December 31, 2023, the Accounts Receivable balance of Foley Distribution Service is $356,000. The Allowance for Doubtful Accounts has a(n) $9,900 credit balance. Accountants for Foley Distribution...
-
Assume the same information for Spruce Bank as in Problem 11-39. David believes that within the pool of borrowers he invests in, the timing of when borrowers ultimately default could be different...
-
A wire is bent into the plane shape ABCDE as shown. Shape ABDE is a rectangle and BCD is a semicircle with diameter BD. The area of the region enclosed by the wire is R m 2 , AE = x metres, and AB =...
-
The motion of a damped spring is modelled using this graph. On a separate graph, sketch the gradient function for this model. Choose suitable labels and units for each axis, and indicate the...
-
Find a numerical approximation to the area above y = |x| and below y = cos x.
-
Select any bank / firm of your choice. Take out its financial statements. Calculate the following ratios according to the information found in these statements? 1. Operating Cycle. Number of days of...
-
What is the solution set for the following inequality? 4x-3+6x5x+7
-
1. Which particular aspects of the web are especially well-suited to facilitate market segmentation for e-business when compared to the bricks-and-mortar setting 2. Describe three alternative ways in...
-
A current i(t)=50e-5 mA is applied to a capacitor C = 1000 F shown in Fig. P9.31. Figure P9.31 i(t) I C V(f) A current applied to a capacitor. (a) Knowing that i(t) = Cd and that the initial voltage...
-
A square bar used as a mechanical link in an automated packaging machine is subjected to a tensile force F. The force, dimensions and material are listed below. All answers are in SAE units. Force...
-
The Procurement process in this chapter is an inbound logistics operational process. Name two other operational processes at CBI. Describe two inbound logistics managerial processes and two strategic...
-
How does Kant answer Humes bundle theory of self? Do you think he is successful?
-
In a survey of consumer finances, it was determined that the average household debt is $250,000. If household debt is normally distributed with a standard deviation of $30,000 determine the quintiles.
-
Refer to Exercise 7.69. Find the probability of the following events. a. The launch of the new product takes more than 105 days. b. The launch of the new product takes more than 92 days. c. The...
-
Refer to Exercise 7.70. Find the quartiles of the time to complete the research project. In exercise 7.70 The demand for a daily newspaper at a newsstand at a busy intersection is known to be...
-
Quatro Company issues bonds dated January 1, 2021, with a par value of $790,000. The bonds' annual contract rate is 9%, and interest is paid semiannually on June 30 and December 31. The bonds mature...
-
Write an at least two paragraph response In yo-ur re-ply, state why you agree or disagree with your classmate's post. To support your reasoning, link to a new article not contained in your and your...
-
Collison and Ryder Company (C&R) has been experiencing declining market conditions for its sportswear division. Management decided to test the assets of the division for possible impairment. The test...
Study smarter with the SolutionInn App