Find the maximum volume of a right-circular cone placed upside-down in a right-circular cone of radius R
Question:
Find the maximum volume of a right-circular cone placed upside-down in a right-circular cone of radius R = 3 and height H = 4 as in Figure 3. A cone of radius r and height h has volume 1/3 πr2 h.
Transcribed Image Text:
1 1 R H
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (5 reviews)
Letr denote the radius and h the height of the upside down cone By similar triangles ...View the full answer
Answered By
Pushpinder Singh
Currently, I am PhD scholar with Indian Statistical problem, working in applied statistics and real life data problems. I have done several projects in Statistics especially Time Series data analysis, Regression Techniques.
I am Master in Statistics from Indian Institute of Technology, Kanpur.
I have been teaching students for various University entrance exams and passing grades in Graduation and Post-Graduation.I have expertise in solving problems in Statistics for more than 2 years now.I am a subject expert in Statistics with Assignmentpedia.com.
4.40+
3+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Redo Exercise 61 for arbitrary R and H. Data From Exercise 61 Find the maximum volume of a right-circular cone placed upside-down in a right-circular cone of radius R = 3 and height H = 4 as in...
-
A right circular cylinder of height h and radius r is inscribed in a right circular cone with a height of 10 ft and a base with radius 6 ft. (a) Express the height h of the cylinder as a function of...
-
The volume of a right circular cone is V = 1/3 r 2 h, where r is the radius of the base and h is the height. (a) Find the rate of change of the volume with respect to the height if the radius is...
-
In a closed economy, prices are constant/fixed. Behaviour is characterised by the following relationships. C=0.9375 (Y-T), T=10 and I=50-250i Money demand Md=Y-100i The supply of money and government...
-
Data for Cascio Company are given in BE16-8. Production records indicate that 18,000 units were transferred out, and 2,000 units in ending work in process were 50% complete as to conversion cost and...
-
An increasing number of Americans are moving to a warmer climate when they retire. To take advantage of this trend, Sunny Skies Unlimited is undertaking a major real estate development project. The...
-
Packing cost is a (a) Manufacturing overhead (b) Selling overhead (c) Distribution overhead (d) Any of the above
-
You operate a carwash with one machine. When you charge $10 per wash you expect to have 20,000 customers per year. For every 10c reduction in price you expect to add 250 customers per year. Your...
-
a. 6. Richard Corp sold Treasury Stock that was originally acquired for $10 a share. A total of 10,000 shares were sold for a sum of $150,000. The following would be included in the journal entry:...
-
A truck gets 10 miles per gallon (mpg) of diesel fuel traveling along an interstate highway at 50 mph. This mileage decreases by 0.15 mpg for each mile per hour increase above 50 mph. (a) If the...
-
Suppose that F(x) = (x) and G'(x) = g(x). Which of the following statements are true? Explain. (a) If = g, then F = G. (b) If F and G differ by a constant, then = g. (c) If and g differ by a...
-
Lee Consulting Corporation is considering raising capital for a planned business expansion to a new market. Lee believes the company will need $500,000 and plans to raise the capital by issuing 6...
-
f. The coordinates of two points A and B are (1, 2) and (5,7) respectively. Find the equation and slope of the line AB. g. Find the rate of change of the area of a circle w.r.t its radius r when r =...
-
1. Sketch the anticipated pattern of cracks on the beam structure shown below. Assume that the structure is adequately reinforced for the load shown, and that the loads are large enough to cause...
-
Estimate the hydrogen consumption required to completely remove the sulfur from a hydrotreater feedstock and to reduce the nitrogen content of the product to 15 ppm by weight. The 48.5 API naphtha...
-
2. Consider the following kinds of information, and suggest the most appropriate data type to store or represent each: Information Suggested Data Type String A person's name A person's age in years A...
-
Steam at 32 MPa, 520C enters the first stage of a supercritical reheat cycle including three turbine stages. Steam exiting the first-stage turbine at pressure p is reheated at constant pressure to...
-
A bank used SRI's consulting business intelligence values and lifestyles (VALS) research to profile customer segments that did not use any automated or electronic services. Based on your knowledge of...
-
As economic conditions change, how do banks adjust their asset portfolio?
-
A point P on the rim of a wheel of radius a is initially at the origin. As the wheel rolls to the right along the x-axis, P traces out a curve called a cycloid (see Figure 18). Derive parametric...
-
Find the length of one arch of the cycloid of problem 18. First show that sin Cycloid P(x, y) (7 0 0
-
Suppose that the wheel of Problem 18 turns at a constant rate w = dθ/dt, where t is time. Then θ = wt. (a) Show that the speed ds/dt of P along the cycloid is (b) When is...
-
Read the following and then answer the questions below:September 12: A Brisbane business offers by letter to sell 500 tyres to a New Zealand company. The Brisbane company does not specify a method of...
-
Fred returns home from work one day to discover his house surrounded by police. His wife is being held hostage and threatened by her captor. Fred pleads with the police to rescue her and offers...
-
Would like you to revisit one of these. Consideration must be clear and measurable.if you can't measure it then how can you show it has / has not been done?How can you sue someone for breach of...
Study smarter with the SolutionInn App