A cylindrical can is to be made to hold 1 L (1000 cm3 ) of oil. Find the dimensions of the radius and height that will minimize
the cost of the metal to manufacture the can. [Hint: Minimize A = 2πr2 + 2πrh subject to a constraint on the volume.]
1 answer:
Answer:
r=5.42cm
h=10.83cm
Step-by-step explanation:
Hello!
To solve this problem please use the following steps, the complete procedure is attached.
1. Raise the equation for the volume of a cylinder and solve for the height (H)
2. Use the equation for the surface area of a cylinder, and replace the height using the equation found in step 1.
3. Derive the equation with respect to the radius and equal it to zero, then solve for the radius of the cylinder. Remember that the objective is to find that with the minimum surface area, the required volume is generated.
4. Once the radius is found, find the height with the equation from step 1
You might be interested in
Answer:
The answer to the question is
It would take Lalelyn bout 3 hours to run the 18m miles, and it will take her
and x +y+z =18 where x, y, and z are the distannce covered swimming, running and bikinr respectifully
Step-by-step explanation:
To solve the question, we lisrt out the variables as follows
Swimming speed of Lakelyn = 250 yards every 5 minutes or 250×12 = 3000 yards/hour = 1.7 miles/hr
Running speed of Lakelyn = 6 miles/hour
Biking speed = 12 miles/hour
The duration it will take for Lakelyn to run 18 miles is given by
Timee taken to run 18 miles t = (Distance covered)/ (Speed of Lakelyn))
or t = D/S
Substituting the known values of such as
Running speed of Lakelyn = 6 miles/hour
From which we have the time taken to run 18 miles = 18 miles /(6 miles/hour) = 3 hours
should the 18 miles form part of the triathlon then, we have
and x +y+z =18
Where x, y and z are the distance covered Swimming, Running and Biking respectively
Answer:
Step-by-step explanation:
I am joyous to assist you anytime.
so 1.25 is the right answer not sure tho