The diagram shows a solid formed by joining a hemisphere of radius r cm to a cylinder
Question:
The diagram shows a solid formed by joining a hemisphere of radius r cm to a cylinder of radius r cm and height h cm. The surface area of the solid is 288π cm2 and the volume is V cm3.
a. Express h in terms of r.
b. Show that V = 144πr – 5/6πr3.
c. Find the exact value of r such that V is a maximum.
Transcribed Image Text:
h
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 87% (8 reviews)
a Express h in terms of r Lets call the height of the cylinder part of the solid h1 and the height o...View the full answer
Answered By
User l_917591
As a Business Management graduate from Moi University, I had the opportunity to work as a tutor for undergraduate students in the same field. This experience allowed me to apply the theoretical knowledge I had gained in a practical setting, while also honing my teaching and communication skills.
As a tutor, I was responsible for conducting tutorial sessions, grading assignments and exams, and providing feedback and support to my students. I also assisted with the preparation of course materials and collaborated with other tutors and professors to ensure consistency in teaching and assessment.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
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...
-
The diagram shows a simplified household circuit. Resistor R1 = 240.0 Ω represents a light bulb; resistor R2 = 12.0Ω represents a hair dryer. The resistors r =...
-
A homogeneous hemisphere of radius r is placed on an incline as shown. Assuming that friction is sufficient to prevent slipping between the hemisphere and the incline, determine the angle ...
-
In the game of roulette, a gambler who wins the bet receives $36 for every dollar she or he bet. A gambler who does not win receives nothing. If the gambler bets $1, what is the expected value of the...
-
Without looking at Table 8.4 but using the general comments in this section, decide which has the larger negative electron affinity, C or F.
-
The Reuth Company is evaluating the proposed acquisition of a new machine. The machine's base price is $600,000 plus shipping costs of $20,000. The machine falls into the MACRS 3-year class (use...
-
Go back to Checkpoint 9.3 and answer the same two questions in terms of the directions of the applied forces and the force displacements. Do your answers agree with those you gave in Checkpoint 9.3?...
-
1. Calculate the price-to-rent ratios for the following properties arranged by price of home followed by likely annual rental income: (a) $400,000/$40,000; (b) $300,000/$36,000; (c) $200,000/30,000....
-
a) A real estate contract is a contract between parties for the purchase and sale, exchange, or other conveyance of real estate. The sale of land is governed by the laws and practices of the...
-
Sunshine Press Pty Ltd produces a number of products, including a weekly newspaper called The Sunshine Times, customised business cards and printed stationery. In preparing next year's budget, the...
-
Given that f(x) = x 2 648/x, find the value of x for which f(x) = 0.
-
The gradient of the curve y = ax + b/x at the point (-1, -3) is 7. Find the value of a and the value of b.
-
Show that the angular momentum operators \(\left(I_{x}, I_{y}, I_{z}ight)\) are Hermitian.
-
Denise has her heart set on being a millionaire. What payment does Denise need to make at the end of each six months over the coming 3 9 years at 7 % APR to reach her retirement goal of $ 1 . 1 5...
-
You are to develop a grade calculator that accepts a student's scores for quizzes, mid-term, problems and final exam. When "calculate' is pressed the page will display the student's results,...
-
What is defined as deviant in the physical world? What is defined as deviant in the digital or online world? Compare and contrast deviance between the two environments. Consider various forms of...
-
What governance mechanisms, oversight structures, and performance measurement frameworks do organizations employ to monitor, evaluate, and adapt their strategic plans in real-time, ensuring strategic...
-
Suppose that you invest in a 10-year, semi-annual coupon, $1,000 par value bond when it is first issued. The coupon rate and yield to maturity are equal both 8 percent. Immediately after purchase,...
-
The Rolling Department of Keystone Steel Company had 400 tons in beginning work in process inventory (20% complete). During the period, 7,900 tons were completed. The ending work in process inventory...
-
Kenneth Hubbard has prepared the following list of statements about managerial accounting and financial accounting. 1. Financial accounting focuses on providing information to internal users. 2....
-
Read Fiscal Leanness and Fiscal Responsiveness:Exploring the Normative Limits of Strategic Nonprofit Financial Management by G. Mitchell. What did the author describe as one of the most important...
-
Read Fiscal Leanness and Fiscal Responsiveness: Exploring the Normative Limits of Strategic Nonprofit Financial Management by G. Mitchell. What did Mitchell?s study of the application of lean...
-
Read Two Approaches to Nonprofit Financial Ratios and the Implications for Managerial Incentives by A. Eckerd.(See Articles.)According to the article author, what is the relationship between the...
-
The nation of Iberia can produce either tablets or cameras. The more it makes of one product, the less it can make of the other. The table shows combinations of the two products it could make from...
-
Explain why collusion is unstable in the one-period Cournot model but may be sustainable in the repeated Cournot model, i.e., in which firms interact over several periods.
-
Economists often define three levels of market efficiency, which are distinguished by the degree of information reflected in security prices. Fully explain each of these three levels of market...
Study smarter with the SolutionInn App