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eviemal120
14.12.2020 •
Mathematics
. A right cylindrical drum is to hold 7.35 cubic feet of liquid. Find the dimensions (radius of the base and height) of the drum which would minimize the surface area. What is the minimum surface area
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Ответ:
Step-by-step explanation:
r = Radius
h = Height
Volume of cylinder =![7.35\ \text{ft}^3](/tpl/images/0980/5262/a926a.png)
Surface area is given by
Differentiating with respect to radius we get
Equating with zero we get
So, the value of the function is minimum at![r=1.05](/tpl/images/0980/5262/1960b.png)
So, the radius and height which would minimize the surface area is 1.05 feet and 2.12 feet respectively.
Surface area
The minimum surface area is
.
Ответ:
one solution
Step-by-step explanation:
x=-3, TeR