The cost ($C) of making a cylindrical rod varies jointly as the square of its base...
The cost ($C) of making a cylindrical rod varies jointly as the square of its base radius (r cm) and its height (h cm). It cost $50 to make a cylindrical rod of base radius of 2 cm and a height of 5 cm.
A.) write an equation involving Cost, radius and height of the cylindrical rod and use it to find the constant of variation.
B.) what will be the radius of the cylindrical rod if the height of 6cm cost $240?
Homework Answers
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The cost ($C) of making a cylindrical rod varies jointly as the
square of its base...
Lueslon Help Apiston is seated at the top of a cylindrical chamber with radius 2 cm...
Lueslon Help Apiston is seated at the top of a cylindrical chamber with radius 2 cm when it starts moving into the chamber at a constant speed of 5 cms (see figure) What is the rate of change of the volume of the cyinder when the piston is 18 om from the base of the chamber? 2 m Piton Let V.r and h be the volume, radius and height of a eylinder, respectively Write an equation relating V, , and...
Question 3 (5 points) A cylindrical paint can with a radius of r and a height...
Question 3 (5 points) A cylindrical paint can with a radius of r and a height of h has a surface area of S = 27r2 + 27rrh. Use calculus to estimate the change is surface area that results if the radius increases from 20 to 22 cm and the height decreases from 50 to 46 cm. (Round your final answer to the nearest tenth of a square centimeter.) Question 4 (5 points)
A cylindrical soda pop can needs to have a volume of 354 cm. In order to minimize the cost of mat...
Please do all the ?s. Optimization Only!
A cylindrical soda pop can needs to have a volume of 354 cm. In order to minimize the cost of materials for this can, we wish to minimize its surface area. 1. (1 pt) Find the function that we are trying to optimize. Do not make any substitutions to this function. Are we attempting to maximize or minimize this function? 2. (2 pts) Explain why the function from number 1 cannot currently be...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that...
A box with a square base and open top must have a volume of 2048 c m 3 . We wish to find the dimensions of the box that minimize the amount of material used. The length of the base is x and the height is h. Since the base is a square, the surface area of just the base would be: Area = The surface area of just one side would be: Area = The surface area of all...
A cylindrical rod (L = 0.1) (r=7.5mm) is fixed on a wall. A point c lies...
A cylindrical rod (L = 0.1) (r=7.5mm) is fixed on a
wall. A point c lies on its radius an angle (theta =30 degrees)
from the positive Z axis.
1) Find the state of stress of a cubic element at
location c assuming its in plane stress. Transverse shear for the
circular crossection can be assumed to be tau = 4V/3A where V is
the shear load and A is the area.
2) Assume C is now a small crack...
(10%) Problem 4: A cylindrical disk of radius r= 11 cm and thickness H= 3.5 cm...
(10%) Problem 4: A cylindrical disk of radius r= 11 cm and thickness H= 3.5 cm is made from a material that has a resistivity 4.3 10-3 m. We wish to determine the resistance across the diameter of the cylinder Otheexpertta.com > 50% Part (a) Integrate over the diameter of the cylinder to write an equation for the resistance in terms ofp, H, and r Grade Summary Deductions Potential 0% 10096 Submissions Attempts r emaining:9 % per attempt) detailed view...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will have the minimum cost. We will now approach it using calculus methods. In class, we found the dimensions of a right circular cylinder (a “can") that has a volume of 1,000 cm3 using the minimum possible material. This assignment changes that problem slightly by seeking the minimum cost for a right circular cylinder whose volume is 1,000 cm3 where the...
12 points SulivanCakc1 4.7.010 Notes Ask Your T A closed box with a square base is to have a volume of 6000 cm3, What should the dimensions of the box be if the amount of material used is to be a...
12 points SulivanCakc1 4.7.010 Notes Ask Your T A closed box with a square base is to have a volume of 6000 cm3, What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height 30 ADV cm cm Additional Materialts u eBook 3 points SullvanCale1 4.7.012 Notes Ask Your Te A builder wishes to fence in 30,000 m2 of land...
2.1 In this problem we find the electric field on the axis of a cylindrical shell...
2.1 In this problem we find the electric field on the axis of a
cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
Please use MATLAB to solve this problem. Thank you Problem-3 (25 Points) A cylindrical "Tin" Can...
Please use MATLAB to solve this problem. Thank you
Problem-3 (25 Points) A cylindrical "Tin" Can may be characterized by its base Radius, R, and height, h. See Diagram at Right. You work for a packaged-food company that uses this type of can. Your current assignment includes the task of designing a new can with constraints It has a total VOLUME of 57 in - The CoST to purchase and seal the can is to Sea be Minimized OLIV The...
Lueslon Help Apiston is seated at the top of a cylindrical chamber with radius 2 cm when it starts moving into the chamber at a constant speed of 5 cms (see figure) What is the rate of change of the volume of the cyinder when the piston is 18 om from the base of the chamber? 2 m Piton Let V.r and h be the volume, radius and height of a eylinder, respectively Write an equation relating V, , and...
Question 3 (5 points) A cylindrical paint can with a radius of r and a height of h has a surface area of S = 27r2 + 27rrh. Use calculus to estimate the change is surface area that results if the radius increases from 20 to 22 cm and the height decreases from 50 to 46 cm. (Round your final answer to the nearest tenth of a square centimeter.) Question 4 (5 points)
Please do all the ?s. Optimization Only!
A cylindrical soda pop can needs to have a volume of 354 cm. In order to minimize the cost of materials for this can, we wish to minimize its surface area. 1. (1 pt) Find the function that we are trying to optimize. Do not make any substitutions to this function. Are we attempting to maximize or minimize this function? 2. (2 pts) Explain why the function from number 1 cannot currently be...
A cylindrical rod (L = 0.1) (r=7.5mm) is fixed on a
wall. A point c lies on its radius an angle (theta =30 degrees)
from the positive Z axis.
1) Find the state of stress of a cubic element at
location c assuming its in plane stress. Transverse shear for the
circular crossection can be assumed to be tau = 4V/3A where V is
the shear load and A is the area.
2) Assume C is now a small crack...
(10%) Problem 4: A cylindrical disk of radius r= 11 cm and thickness H= 3.5 cm is made from a material that has a resistivity 4.3 10-3 m. We wish to determine the resistance across the diameter of the cylinder Otheexpertta.com > 50% Part (a) Integrate over the diameter of the cylinder to write an equation for the resistance in terms ofp, H, and r Grade Summary Deductions Potential 0% 10096 Submissions Attempts r emaining:9 % per attempt) detailed view...
3. This problem revisits the question from Problem Set I about finding the dimensions of a one-liter can that will have the minimum cost. We will now approach it using calculus methods. In class, we found the dimensions of a right circular cylinder (a “can") that has a volume of 1,000 cm3 using the minimum possible material. This assignment changes that problem slightly by seeking the minimum cost for a right circular cylinder whose volume is 1,000 cm3 where the...
12 points SulivanCakc1 4.7.010 Notes Ask Your T A closed box with a square base is to have a volume of 6000 cm3, What should the dimensions of the box be if the amount of material used is to be a minimum? (Round your answers to three decimal places.) square base side length height 30 ADV cm cm Additional Materialts u eBook 3 points SullvanCale1 4.7.012 Notes Ask Your Te A builder wishes to fence in 30,000 m2 of land...
2.1 In this problem we find the electric field on the axis of a
cylindrical shell of radius R and height h when the cylinder is
uniformly charged with surface charge density . The axis of the
cylinder is set on the z-axis and the bottom of the cylinder is set
z = 0 and top z = h. We designate the point P where we measure the
electric field to be z = z0. (See figure.) You will use...
Please use MATLAB to solve this problem. Thank you
Problem-3 (25 Points) A cylindrical "Tin" Can may be characterized by its base Radius, R, and height, h. See Diagram at Right. You work for a packaged-food company that uses this type of can. Your current assignment includes the task of designing a new can with constraints It has a total VOLUME of 57 in - The CoST to purchase and seal the can is to Sea be Minimized OLIV The...
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