A manufacturing firm wants to package its product in a cylindrical container 3 ft high with surface
Question:
A manufacturing firm wants to package its product in a cylindrical container 3 ft high with surface area 8π ft2. What should the radius of the circular top and bottom of the container be?
Step by Step Answer:
Let h height and r radius Surface area 2rh 2r2 8 ...View the full answer
College Algebra
ISBN: 978-0134697024
12th edition
Authors: Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
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 Mathematics questions
-
In Exercise 29, what radius would produce a container with a volume of times the radius? Exercise 29 A manufacturing firm wants to package its product in a cylindrical container 3 ft high with...
-
A manufacturing firm wants to investigate the effects of 5 color additives on the setting time of a new concrete mix. Variations in the setting times can be expected from day-to-day changes in...
-
A boat is being pulled into a dock with a rope attached to the boat at water level. When the boat is 12 ft from the dock, the length of the rope from the boat to the dock is 3 ft longer than twice...
-
Find the point on the plane z = x + y + 1 closest to the point P = (1, 0, 0). Minimize the square of the distance.
-
In exercise 6, data were given on the recruiter assessment score (highest = 5), the out-of-state tuition and fees (rounded to the nearest $1000), and the average starting salary and bonus (rounded to...
-
The intake pipe of a 100-gallon tank has a flow rate of 10 gallons per minute, and two drainpipes have flow rates of 5 gallons per minute each. The figure shows the volume V of fluid in the tank as a...
-
4. 60 percent of Saghir Corporations interest is owned by Qawi Corporation, another 30 percent is owned by Kabir Corporation, and the remaining 10 percent is owned by Dayiq Corporation. Qawi, Saghir,...
-
Develop an outline (major headings and subheadings only) for a project management plan to create a Web site for your class, and then fill in the details for the introduction or overview section....
-
re A company has a process that results in 1,700 pounds of Product A that can be sold for $17.50 per pound. An alternative would be to process Product A further at a cost of $15,200 and then sell it...
-
The following data pertain to British Isles Aggregates Company, a producer of sand, gravel, and cement, for the year just ended. Sales revenue ......... 2,000,000 Cost of goods sold ............
-
In Exercise 27, suppose that the piece of metal has length twice the width, and 4-in. squares are cut from the corners. If the volume of the box is 1536 in. 3 , what were the original dimensions of...
-
What is the length of the side of a square if its area and perimeter are numerically equal?
-
Use Equations (3.5) and (3.6) to estimate the coefficients of the line y = ax + b such that the sum of the squared deviations between the line and the following data points is minimized. a. b. c. For...
-
Gilbert Canned Produce (GCP) packs and sells three varieties of canned produce: green beans; sweet peas; and tomatoes. The company is currently operating at 82 percent of capacity. Worried about the...
-
Apply at least two of the theories (of your choice) to your personal experience? The theories are Leader-Member Exchange Theory (LMX Model), the Situational Leadership Model, the Contingency Model...
-
Game theory is used in economics, social science and computer science to understand and predict the behaviour of people and intelligent entities. In project management and business scenarios, it can...
-
During a chemistry lab, you take a 0.2 kg sample of ice and put it in a beaker with a thermometer. You then place the beaker with the ice on a hot plate, and turn on the hot plate. This hot plate...
-
Selected information from Carla Vista Ltd.'s statement of financial position and statement of income is as follows: Carla Vista Ltd. Statement of Financial Position (partial) December 31 2024 2023...
-
Let X 1 ,X 2 , . . .,X n be a random sample from a (, ) distribution where is known and > 0. Determine the likelihood ratio test for H 0 : = 0 against H 1 : 0 .
-
Complete the equations for the following equilibria and calculate Keq where the Keq expression includes [HO]. Be sure to enter Keq in proper scientific notation. (a) ammonia (acting as a base) reacts...
-
Write an equation for a function that has the shape of y = x2, but shifted right 2 units and down 1 unit.
-
Write an equation for a function that has the shape of y = x2, but reflected across the x-axis and shifted left 2 units and up 3 units.
-
The graph of a function y = f(x) is shown below. No formula for f is given. Graph y = - 1 / 2 f(x). y = f(x)
-
DETAILS 1. [-/1 Points) SMITHNM13 11.2.025. MY NOTES Convert the credit card rate to the APR. Oregon, 2% per month % Need Help? ReadIt Watch
-
Corom Stack Standard CALCULATOR PRINTER VERSION BACK NEXT Problem 13-02A a-c (Part Level Submission) Sheffield Corporation had the following stockholders' equity accounts on January 1, 2020: Common...
-
Suppose that you own 2,100 shares of Nocash Corp. and the company is about to pay a 25% stock dividend. The stock currently sells at $115 per share. a. What will be the number of shares that you hold...
Study smarter with the SolutionInn App