A right circular cylinder is inscribed in a sphere of radius r. Find the largest possible surface
Question:
Step by Step Answer:
The cylinder has surface area 2area of the ...View the full answer
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Calculus questions
-
A right circular cylinder is inscribed in a cone with height h and base radius r. Find the largest possible volume of such a cylinder.
-
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 surface area S of a right circular cylinder is given by the formula S = 2prh + 2pr2. If the height is twice the radius, find each of the following. (a) A function S1r2 for the surface area as a...
-
Ghana Water Company Limited (GWCL) Profile Ghana Water Company Limited (GWCL) is a utility company, fully owned by the State. The company is responsible for potable water supply to all urban...
-
Chile's largest producer of wine, Concha y Toro, chooses to compete in Europe, North America, the Caribbean, and Asia using an export strategy. Go to the investor relations section of the company's...
-
Gios Restaurants is considering a project with the following expected cash flows: If the projects appropriate discount is 12 percent, what is the projects discounted payback? PROJECT YEAR CASH FLoW...
-
Table B. 23 contains data from the NBA Combine. Use all possible regressions to build a model for these data. Perform a residual analysis on the final model and comment on model adequacy. Time Run...
-
7-B1 Prepare Master Budget Flying Fish Kite Company, a small Woy Woy, Australia, firm that sells kites on the Web, wants a master budget for the 3 months beginning January 1, 20X2. It desires an...
-
Beginning raw materials inventory $96,000 Beginning work-in-process inventory 168,000 Beginning finished goods inventory 600,000 Raw materials purchases 684,000 Wages paid 372,000 Applied...
-
A plate 100 mm wide and 10 mm thick is to be welded with another plate by means of transverse welds at the ends. If the plates are subjected to a load of 70 kN, find the size of weld for static as...
-
A right circular cylinder is inscribed in a sphere of radius r. Find the largest possible volume of such a cylinder.
-
A Norman window has the shape of a rectangle surmounted by a semicircle. (Thus, the diameter of the semicircle is equal to the width of the rectangle. See Exercise 52 on page 24.) If the perimeter of...
-
Fill in each blank so that the resulting statement is true. When solving by the addition method, we can eliminate y by multiplying the second equation by________ and then adding the equations. (2x +...
-
What three practical concepts have you learned from listening to the Borrowed Future Episode 1 Podcast" what no one told you about student loan"?
-
Summarize this information below. Introduction: The Croc Your World Enterprise (CYW) company founded by the charismatic and socially responsible businessman, Mr. Victor Diego. CYW's mission is to...
-
The home depot is advertising a "buy today" and "pay nothing for 12 months" offer on their appliances. If you purchase an appliance with the following terms below, what is the implied price of the...
-
A $16,000 loan is taken out and will be repaid over an amortization period of 17 years. The loan repayments are made on a SEMI-ANNUAL basis (not monthly). The rate of interest charged on the loan is...
-
A pair of boots with a rate of markup on cost of 30$ gave the retailer a markup of $14.5. what was the cost?
-
In 1940, the family of Thomas Back entered into an oil-and-gas lease with the Inland Gas Corporation. The lease held that Inland would pay to Backs family 12 cents per thousand cubic feet of gas...
-
Sheldon and Leonard had a million-dollar idea. In order to make it happen, they have to do special research first. Only Kripke can help them in this matter. But Kripke is known to be the first-class...
-
In the tradeoff between economic output and environmental protection, what do the combinations on the protection possibility curve represent?
-
Use a tree diagram to write out the Chain Rule for the given case. Assume all functions are differentiable. u = f (x, y), where x = x(r, s, t), y = y(r, s, t)
-
Use a tree diagram to write out the Chain Rule for the given case. Assume all functions are differentiable. w = f (x, y, z), where x = x(u, v), y = y(u, v), z = z(u, v)
-
Use a tree diagram to write out the Chain Rule for the given case. Assume all functions are differentiable. T = F(p, q, r), where p = p(x, y, z), q = q(x, y, z), r r (x, y, z)
-
3. a. b. Solve the system by inverting the coefficient matrix and using Theorem 1.6.2 of the textbook. -x-2y-32 = 0 w+x+4y+4z = 7 w+3x+7y+9z = 4 -w-2x-4y - 6z = 6 Determine conditions on the b's, if...
-
1. If 5,000 earns Php86.00 interest in 15 months, how much is the rate of interest? 2. If the interest rate is 7.5% per year and the principal is Php2,500, determine the amount of interest for 20...
-
Given no change to the 0.8 percent chance that any women have breast cancer, and given that positive mammogram effectiveness is increased from 90% , and given that the false positive rate is...
Study smarter with the SolutionInn App