## sasogeek Group Title A manufacturing company makes open cylindrical containers each with a capacity of 100cm^3. if the radius of the cylinders is r cm, find the value for which the area of the metal sheet required is minimum. 2 years ago 2 years ago

1. sasogeek Group Title

the capacity is 1000cm^3

2. sasogeek Group Title

typo

3. FoolForMath Group Title

$$A = 2 \pi r h$$ $V = \pi r^2 h = 10^3$ substitute and then differentiate you will get your answer.

4. sasogeek Group Title

how do i get rid of h...

5. FoolForMath Group Title

I gave you so many hints .. :)

6. sasogeek Group Title

ok so $$\large h=\frac{10^3}{\pi r^2}$$ i substitute this and then differentiate...

7. FoolForMath Group Title

Seems good to me.

8. sasogeek Group Title

when i substitute, i end up with $$\large A=\frac{2000}{r}$$ ... how do i differentiate this and still get a value of r ?