Find the volume obtained when the circle of radius 1 with center (1, 0) is rotated about
Question:
Step by Step Answer:
The centroid of this circle 10 tr...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
-
Find the volume obtained by rotating the region bounded by the given curves about the specified axis. 59. y = sin x, x= 1/2, x= m. y = 0: about the x-axis 60. y = tan'x. y = 0, x = 0. x = 7/4: about...
-
Find the volume obtained by rotating the region bounded by the given curves about the specified axis. a. y = sin x, y = 0 , /2 x about the x-axis. b. y = sinx, y = cos x, 0 x about the x-axis
-
A parametrization of a circle of radius 1 centered at (1, 0) in the xy-plane is given by x = 1 + cos t, y = sin t, for 0 t 2. Find the surface area when this curve is revolved about the y-axis.
-
A cellphone postpaid plan costs 250 per month with unlimited calls to all networks, 150 text messages per month, and no data plan. After 150 text messages, it costs 0.75 for each text message you...
-
Determine whether the interaction plot suggests that significant interaction exists among the factors. 1. 2. 3. 4. B2 B. A3 A1 A2 Mean Response B2 B A A3 A1 Mean Response
-
Enron was an energy company based in Houston, Texas that made energy trades. It was formed in 1985 with the merger of Houston Natural Gas and InterNorth. After an aggressive expansion plan that...
-
The table shows the mean heights and standard deviations for a population of men and a population of women. Compare the z-scores for a 6-foot-tall man and a 6-foot-tall woman. Assume the...
-
Hines Cosmetic Co. sold beauty preparations nationally to beauty shops at a standard or fixed-price schedule. Some of the shops were also supplied with a free demonstrator and free advertising...
-
A one cubic foot sample of a borrow-source clay weighed 88 lbs. If the specific gravity of solids was measured as 2.70, and the clay was found to be 10 percent saturated, determine the water content...
-
Compute the early, late, and slack times for the activities in the network that follows, assuming a time-constrained network. Which activities are critical? What is the time-constrained project...
-
Find the centroid of the region shown. 13. 14. (3.2) 3 -2 2.
-
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.
-
Reference frame S' passes reference frame S with a certain velocity as in Figure. Events 1 and 2 are to have a certain spatial separation x' according to the S' observer. However, their temporal...
-
If anyone is hurt by unfair competition among businesses, it would seem to be primarily other businesses. Critically discuss the ethical issues affecting consumers and society as a whole when...
-
The following are selected accounts and balances for Jonah Company and Hill, Incorporated, as of December 31, 2024. Several of Jonah's accounts have been omitted. Credit balances are indicated by...
-
What are the key challenges and considerations in designing and implementing concurrent garbage collectors for managed runtime environments, particularly in the context of multi-threaded, multi-core...
-
What is Entrepreneurship - its meaning , importance and types. Discuss.
-
Ethical Scenario You work for a nonprofit group that brings aid to underdeveloped countries across the world. Presently, you are in South America helping a small tribe build a water works station to...
-
Euler's equation in the differential form for motion of liquids is given by: (a) \(\frac{d p}{ho}-g d z+v d v=0\) (b) \(\frac{d p}{ho}+g d z+v d v=0\) (c) \(\frac{d p}{ho}-g d z-v d v=0\) (d)...
-
A line l passes through the points with coordinates (0, 5) and (6, 7). a. Find the gradient of the line. b. Find an equation of the line in the form ax + by + c = 0.
-
In a horizontal pipe system, a pipe (i.d. 4.0 mm) that is 20 cm long connects in line to a pipe (i.d. 5.0 mm) that is 30 cm long. When a viscous fluid is being pushed through the pipes at a steady...
-
4.5. Multiplication in GF(24): Compute A(x)-B(x) mod P(x) in GF(24) using the irreducible polynomial P(x) = x++x+1. What is the influence of the choice of the reduction polynomial on the computation?...
-
Write a C++ program that calculates the volume of a cylinder. Define appropriate variables for the diameter and the height of the cylinder. Assuming the units of these variables are in inches,...
-
a. Show the d and values that result from running breadth-first search on the directed graph of Fig 1, using vertex A as the source. (Ascending Order) b. Show the d, f and values that result from...
Study smarter with the SolutionInn App