Use the Theorem of Pappus to find the volume of the given solid. 40. A sphere of
Question:
40. A sphere of radius r (Use Example 4.) 41. A cone with height h and base radius r 42. The solid obtained by rotating the triangle with vertices (2. 3). (2. 5), and (5, 4) about the x-axis
Step by Step Answer:
40 A sphere can be generated by rotating a semicircle about its diam...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
-
Use the Theorem of Pappus and the fact that the volume of a sphere of radius r is 4/3 r3 to find the centroid of the semicircular region bounded by the curve y = r2 x2 and the x-axis.
-
What does the Theorem of Pappus say?
-
What does the Theorem of Pappus say?
-
Ethanol reacts with sodium and forms two products which are Options: 1) Sodium ethanoate and hydrogen 2) Sodium ethanoate and oxygen 3) Sodium ethoxide and hydrogen 4) Sodium ethoxide and oxygen
-
Go to www.pearsonhighered.com/sullivanstats to obtain the data file 14_3_19 using the file format of your choice. The data represent the SAT Math scores for students who took the exam in 2012, along...
-
Boyle Company makes fine jewelry that it sells to department stores throughout the United States. Boyle is trying to decide which of two bracelets to manufacture. Cost data pertaining to the two...
-
Find the mean of these times that American Airlines flights used to taxi to the Los Angeles terminal after landing from a flight: 12 min, 8 min, 21 min, 17 min, 12 min. Data are from Data Set 15 in...
-
Pablo Management has five part-time employees, each of whom earns $100 per day. They are normally paid on Fridays for work completed Monday through Friday of the same week. They were paid in full on...
-
A database administrator (DBA) may perform which roles? make list and explain them briefly
-
Capers, Inc. has just promoted me to Chief financial officer. Since this is a new office in the company, I am understaffed and many of the responsibilities have been assigned to me. The first task I...
-
Find the centroid of the region shown, not by integration, but by locating the centroid's of the rectangles and triangles (from Exercise 37) and using additively of moments. 39. 38. 2- -2 2 x
-
Let R be the region that lies between the curves y = xm and y = xn, 0 < x < 1, where m and are integers with 0 < n < m. (a) Sketch the region R. (b) Find the coordinates of the centroid of R. (c) Try...
-
For most hospitality managers, the bottom line is not the most important number on an income statement because managers a. Cannot control all of the factors that affect unit profits. b. Can control...
-
In September 2008, the IRS changed tax laws to allow banks to utilize the tax loss carryforwards of banks they acquire to shield their future income from taxes (prior law restricted the ability of...
-
Jennifer has invested in two schemes. The first scheme has a required return of 12% and will produce a stream of 300 at the end of each year indefinitely. The second scheme has a required return of...
-
RII, a Japanese electronic accessories firm, uses the internal rate of return (IRR) to select projects. Project RK100 Rubber Keyboard requires an initial investment of 1,000,000 and generates cash...
-
Heather has just bought a bond that will mature in 5 years for 300, with a 320 par value and a coupon rate of 10% paid semiannually. What should the value of this bond be if the required return on...
-
A 2-year Treasury bond currently offers a 6% rate of return. A 3-year Treasury bond offers a 7% rate of return. Under the expectations theory, what rate of return do investors expect a 2-year...
-
From the following data, construct the cash book for the month of February 2015. Feb 1 Balances at the start of the month: Bank 878, Cash in hand 101 Feb 2 Bought equipment paying by cheque for 325...
-
Differentiate. y = ln(3x + 1) ln(5x + 1)
-
On a day when atmospheric pressure is 76 cmHg, the pressure gauge on a tank reads the pressure inside to be 400 cmHg. The gas in the tank has a temperature of 9 C. If the tank is heated to 31 C by...
-
Find the slope and y-intercept of the line and draw its graph. 4x + 5y = 10
-
Sketch the region in the xy-plane. {(x, y) | x < 0}
-
Sketch the region in the xy-plane. Sketch the region in the xy-plane. {(x, y) | y > 0}
-
Select Coffee Company (SCC) is a distributor and processor of different blends of coffee. The company buys coffee beans from around the world and roasts, blends, and packages them for resale. SCC has...
-
Do research in following topic Normalization is used to reduce inconsistency, errors, and redundancy in in Relational Databases. How NoSQL databases (You can use MongoDB as example) achieve the same...
-
A manager asked you to explore different options for the NoSQL database and present the right choice for the company. Explore various NoSQL databases and provide recommendations to your manager...
Study smarter with the SolutionInn App