You have been hired to design a gasoline tank. The tank is in the shape of a right cylinder and needs to hold 100,000 liters. The tank will be constructed using two sheets of metal. One sheet will be rolled into a cylinder. The other sheet will have two circles cut from it. Prior to welding the inside will be coated with two layers of rust protection and the outside will be coated with three layers of rust protection and a coat of paint. The paint costs $0.23 per square meter and the rust protection costs $0.45 per square meter. It costs $0.20 per meter to roll the cylinder, $0.30 per meter to weld the pieces together, and $0.35 per meter to cut the circles. The material for the side costs $2.50 per square meter and the material for the top and bottom costs $5.00 per square meter.
Find a formula for the cost of the tank in terms of radius and then find the radius that optimizes the cost. Include the dimensions of the tank.

a) What is the formula for the total cost of the tank in terms of radius? (the easiest way to approach this is to break the problem up into the component costs like cost of material, cost of rolling, cost of cutting, etc. and then add them up.)

b) What is the radius and height that minimizes cost?

c) What is the cost of producing one tank?

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation:

the least value out of the data shown is 5, maybe if you post a picture with it i could a little more.

step-by-step explanation:

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .

$3,200 x 7.25% = $3,200 x .0725 = $232 interest monthly

$232 monthly x 12 annual = $2, 784

step-by-step explanation: