9. Find the dimensions of the closed cylindrical can that will have a capacity of k units of volume and will use the
minimum amount of material. Find the ratio of the height h to the radius r of the top and bottom. [h/r=2]
Answers
Answered by
0
Answer:
the capacity is 5 litre
hope it helps you
mark as brainliest
usamabin:
step by step answer in this question plz
Answered by
1
Question :-
- Find the dimensions of the closed cylindrical can that will have a capacity of k units of volume and will use the minimum amount of material. Find the ratio of the height h to the radius r of the top and bottom.
Answer
Given :-
- Volume of cylinderical can = k
To find :-
- Ratio of the height h to the radius r of the top and bottom.
Now, Cost C, of construction the can is minimum, when surface area is minimum.
On substituting the value of h, from equation (1), we get
Differentiate w. r. t. r both sides, we get
For maximum or minimum value
Differentiate equation(2) w. r. t. r, we get
On substituting equation (3) in equation (1), we get
Similar questions