Prove the maximum value of is obtained

Reference no: EM13206141

Acylider of radius x is inscribed in a fixed sphere of internal radius R, the circumference of the circular ends of the cylider being in contact with the inner surface of the sphere.

a) Show that A^2=16pi^2x^2(R^2-x^2), where A is the curved surface area of the cylider.
b) Prove that, if x is made to vary, the maximum value of is obtained when the height of the cylinder is equal to the diameter.

Reference no: EM13206141

Questions Cloud

Describe one real-life example : Describe one real-life example of where rational equations are used at home. For ideas, look in the textbook or online. Describe one of them in detail.

Describe the types of endoscopes-cystoscope-nephroscope : The letter should describe the types of endoscopes you sell (Endoscope, Cystoscope, Nephroscope, Urethroscope, Laparoscope, Bronchoscope, Arthroscope, Colposcope, Gastroscope, Laryngoscope, Proctoscope, Thoracoscope) and their uses

How much was the profit from wholesale : The profits from the product group were further categorized as shown in the second pie chart. How much was the profit from wholesale?

Do you believe managers are justified in monitoring employee : Do you believe managers are justified in monitoring employees Should managers always alert workers about monitoring At what point (if any) does management monitoring become unethical Would your perspective be different if you were the owner of the..

Prove the maximum value of is obtained : Acylider of radius x is inscribed in a fixed sphere of internal radius R, the circumference of the circular ends of the cylider being in contact with the inner surface of the sphere.

Identify the lessons learned from japans lost decade : From 1991 through 2001, Japan experienced a period of economic stagnation and price deflation known as "Japan's Lost Decade." While the Japanese economy outgrew this period, it did so at a pace that was much slower than other industrialized nation..

Emerging currency of choice for international transactions : As the Euro has become an emerging currency of choice for international transactions, what do you think would happen to the U.S. dollar (and America's status as the top economic power) if the Euro dethroned the U.S. dollar and became the currency of ..

Discuss why the government often gets involved : Proponents argue that tolls have long ago paid for the cost of building the road; now they just provide cash for tax bureaucracy. A number of economists are opposing the repeal of tolls on the grounds that they serve to internalize externalities.

Find the probability that all of them are acceptable : In one town, 51 percent of all voters are democrats If two voters are randomly selected for a survey, find the probability that they are both democrats.

User Account

All Pages