A solid cylinder has radius r cm and height h cm. The volume of this cylinder is
Question:
A solid cylinder has radius r cm and height h cm.
The volume of this cylinder is 432 cm3 and the surface area is Acm2.
a. Express h in terms of r.
b. Show that
c. Find the value for r for which there is a stationary value of A.
d. Determine the magnitude and nature of this stationary value.
Transcribed Image Text:
A = 2πr² + 864π r
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
a Express h in terms of r The formula for the volume of a cylinder is V r2h so we have V r2h 432 cm3 ...View the full answer
Answered By
Rina May Lopez
Am competent enough since I have two years experience in tutoring
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
A solid cylinder has radius r cm and height h cm. The volume of this cylinder is 250 cm 3 and the surface area is A cm 2 . a. Express h in terms of r. b. Show that A = 2r 2 + 500/r. c. Find dA/dr and...
-
The diagram shows a solid cylinder of radius r cm and height 2h cm cut from a solid sphere of radius 5 cm. The volume of the cylinder is V cm 3 . a. Express r in terms of h. b. Show that V = 2h(25 h...
-
A closed circular cylinder has radius r cm and surface area Acm2, where Given that the radius of the cylinder is increasing at a rate of 0.25 cms 1 , find the rate of change of A when r = 10. A = 22...
-
The comparative balance sheet of Merrick Equipment Co. for December 31, 20Y9 and 20Y8, is as follows: Dec. 31, 20Y9 Dec. 31, 20Y8 Assets Cash $70,720 $47,940 Accounts receivable (net) 207,230 188,190...
-
Repeat question 3, but use a relatively obscure brand as the basis for your application of Figure 8.1. Along the lines of the Petetables illustration (see Figure 8.2), identify a relatively unknown...
-
All six decision models from Chapter 9 rely on the appropriate timing and amount of cash flow. What are the potential errors a manager can make if this information is not accurate?
-
What are the various types of pulley used for flat belt?
-
In the late 1990s, many grocery supermarkets shifted from regular storewide sales to issuing membership in discount and points programs, much like frequent flyer programs run by airlines. A...
-
Discuss a literature review for the topic " managing health and safety in the military" . Include citation with a short explication.
-
(a) A homogeneous solid body of arbitrary shape is initially at temperature T, throughout. At t = 0 it is immersed in a fluid medium of temperature T. Let L be a characteristic length in the solid....
-
The diagram shows a right circular cone of base radius r cm and height h cm cut from a solid sphere of radius 10 cm. The volume of the cone is V cm 3 . a. Express r in terms of h. b. Show that c....
-
The diagram shows a right circular cone with radius 10 cm and height 30 cm. The cone is initially completely filled with water. Water leaks out of the cone through a small hole at the vertex at a...
-
Indicated on the graph in Fig. 6.22. Write the coordinates of the indicated point. Fig. 6.22. 5- 26 4. 34 3- |25 33 32 28 27 -5-4 3 2 1, 2 3 4 5 31 -2 30 -3 29 -4 -5
-
A company has an outstanding one-year bank loan of $500,000 at a stated interest rate of 8.2 percent. The company is required to maintain a 21 percent compensating balance in its checking account....
-
Use these data for the following question: Lake Union Cardboard Co. released its balance sheet at the end of the fiscal year; it listed current assets as $67,453 and current liabilities of $24,986....
-
Draw 4-methylumbelliferone in its protonated and deprotonated state. Browse your files to upload or Drag and Drop Max attachments: 2 | Max Size: 20.00MB each
-
Explain what an desktop operating system doesand list out its features. 2. Compare different types of desktop operating systems? Which operating system you like most? and Why? 3. What is Embedded...
-
Given the following, what is disposable income? Annual Amount/Value per item Item Annual Amount/Value Gross employment income $105,000 Housing costs $20,000 Bank accounts $4,000 Car loan $18,500...
-
What part of advertising effectiveness does this research measure?
-
What are the key dimensions of critical thinking 2. Watch the NBC Learn video on Diet Scams. What types of claims are made in this video Are they valid Elaborate on your responses. Discuss this video...
-
See the description of the MMPI-2 in Exercise 6.47. The mean T score is always 50, and the standard deviation is always 10. Imagine that you administer the MMPI-2 to 50 respondents who do not use...
-
The General Social Survey (GSS) is a survey of approximately 2000 adults conducted each year since 1972, for a total of more than 38,000 participants. During several years of the GSS, participants...
-
What is a percentile?
-
What kind of lessons you learnt from trading this stock. How you value the stock of Apple company. Fundamental approach to analyze the company: industry outlook, company financial performance...
-
Discuss the influence of capital adequacy ratios in maintaining financial stability in the international banking system. What role does the Bank of International Settlements and the Basel Accords...
-
A building supply store is considering expanding its capacity to meet a growing demand for its products. The alternatives are to build a new store at a site nearby, expand the old one, or do nothing....
Study smarter with the SolutionInn App