Answer:
The dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Step-by-step explanation:
A cylindrical can holds 300 cubic centimeters, and we want to find the dimensions that minimize the cost for materials: that is, the dimensions that minimize the surface area.
Recall that the volume for a cylinder is given by:
Substitute:
Solve for <em>h: </em>
Recall that the surface area of a cylinder is given by:
We want to minimize this equation. To do so, we can find its critical points, since extrema (minima and maxima) occur at critical points.
First, substitute for <em>h</em>.
Find its derivative:
Solve for its zero(s):
Hence, the radius that minimizes the surface area will be about 3.628 centimeters.
Then the height will be:
In conclusion, the dimensions that minimize the cost of materials for the cylinders have radii of about 3.628 cm and heights of about 7.256 cm.
Answer:
Step-by-step explanation:
the nearest 10 thousandth position is 7. So rounded to the nearest 10000 would by 70000.
Why?
Because the 1 is less than 5 and that does does not alter the 7 in any way.
Answer:
if you are asking (2m - 10m + 5) + (8m +2), the answer would end up just being 7.
Step-by-step explanation:
simplify, 2m-10m = -8m.
5 + 2 = 7
-8m + 8m = (they cross each other out. you can't have a 0m)
Your Answer = 7
Answer:
the first option is the answer