Assume that the height of your cylinder is 6 inches. Consider A as a function of r, so we can write that as A(r)=2πr2+12πr. What is the domain of A(r)? In other words, for which values of r is A(r) defined? A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be theradius of the top of the can and let h be the height. The surface area of the cylinder, A, isA = 2Tr2 + 2rrh (it's two circles for the top and bottom plus a rolled up rectangle for the side).r = radiusAreas = r²h = heightArea = h(2rr)Circumference2ar

Given: The radius of the cylinder is r. The height of the cylinder is h. The total surface area of…

Answered: A cylinder (round can) has a circular…

Similar questions

Q.) Solve a ,b and c
Jungle gym, dot products, unit vectors. A coordinate system is laid out along the bars of a large 3D jungle gym (the figure below). You start at the origin and then move according to the following steps. For each step, the distance (in meters) and direction in which you move A. are given by the cross product A x B of the given vectors A and B. For example, the first move is 18 m in the +z direction. What is the magnitude dnet of your final displacement from the origin? (a) A = 3.01, B = 6.0 (b) A = - 4.01, B = 3.0k - (c) A = 2.0₁, B = 4.0k (d) A = 3.0₁, B - 8.0 (e) A = 4.0K, B = - 2.01 (f) A = 2.01, B - 4.01
Identify the error in this "proof" that 2 = 1. (It becomes blatantly obvious if one sets B equal to a number.) Let A = B A2 = AB A2 - B2 = AB - B2 (A - B)(A + B) = (A - B)B A + B = B 2B = B 2 = 1
A ferris wheel has a radius of 75 feet and its center is 80 feet above the ground. You ride the wheel once around and get off. (a) Find a function that expresses your height in terms of the angle of rotation of the wheel since you boarded. Be sure to give the function a name and define its input and output (with units) in complete sentences. Include the function's domain. Explain your reasoning clearly. (b) When you are 108 feet above the ground for the second time, the wheel comes to a stop. It then turns through a small angle and stops again. Ap- prorimate the change in your height in terms of this small angle of rotation. Be sure to define these changes precisely and to erplain your logic. (c) Suppose the wheel turned through an angle of 2° as described in part (b). Use your result of part (b) to approximate the change in your height. Include units at each step and for each number in the computation. Craft your response to this question in the form of a letter to a friend.…

A cylinder (round can) has a circular base and a circular top with vertical sides in between. Let r be the radius of the top of the can and let h be the height. The surface area of the cylinder, A, is A = 2Tr2 + 2rrh (it's two circles for the top and bottom plus a rolled up rectangle for the side).