A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?

A cylinder with open top with radius r and height h has surface area 8 cm^2 . Find the largest possible volume of such a cylinder?

a rectangular field with a partition is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides...

a rectangular field of 1350 ft^2 is to be enclosed with a fence against an existing wall, so that no fence is needed on that side. The material for the fence cost $3/ft. for the two end sides perpendicular...

Design a fuel tank that will hold 300 liters of fuel. The shape must be a cylindrical tube with two rounded ends. The side wall (cylinder part) costs $.10 per cm^2 to make while the rounded tops cost...

I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemispheres attached to each end. The side wall (the cylinder...

An open rectangular box is to be made from a 9X12 piece of tin by cutting squares of side x from the corners and folding up the sides. What should X be to maximize the volume of the box?

A 384 square meter plot of land ts to be enclosed by a fence and divided into two equal parts by another fence parallel to one pair sides. What dimensions of the outer rectangle will minimize the...

Two sides of a triangle have lengths a and b and the angle between them is angle theta. What value of angle theta will maximize the triangle's area? Use the formula A=1/2absintheta.

find two numbers whose sum is 20, if the product of one by the cube of the other is to be a maximum?

I need the answer later pls

I am asked to design a fuel tank for a fighter jet that will hold 300 liters of jet fuel. The shape of the tube is a cylinder with two hemisphere attached to the end. The side wall (the cylinder part)...

Two corridors 3m and 4m wide meet at right angles. Find the length of the shortest thin straight road that can pass horizontally around the corner.

NRG is a supplier of energy supplements to athletes, determines that its price function is approx p(x)=60-1/2x where x is the number of boxes of supplements will be sold per day and p is the price...

Upper whitlock gaming makes video games for teens. The two most popular games are the I Dig game and the vista cruiser game.The company knows from past experience that they sell at most twice as many...

You have bought a painting at an art auction. You paid £A for it. The market price P will increase in the future at the rate of e√k from the price you paid, £A, and where k is...

What is the minimum number of feet of fencing needed to create a rectangular garden with an area of 576ft? I keep getting 144 as my answer but my friend says it wrong.. Please help...

What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 10003?

The following polygon of constraints represents the solution for an optimization situation that involves minimizing the costs of sugar and salt. the values in the table below were calculated in order...

so I am asked to maximize l*w*h = 2w^2*h l*w +2w*h+2lh=600 I solved for h in terms of w 2w*w+2wh+2*2wh=600 2wh+4wh=600-2w^2 h(6w)=600-2w^2 h=(600-2w^2)/(6w) I...

How do I solve it?

According to the function G(t)= 0.001t^2+0.06t^2-1.5t+12. What is the minimum concentration of geese by area in 2015, if the min and max temperature were -34 degree celsius and 34 degree celsius...

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