A workshop prepared two articles A and B .The time required at different stages and profit per unit are shown below. Formulate the LP model
Work
center product
Cutting
Machine
Packing
Profit per unit($)
A
2
1
1
50
B
1
2
0.5
60
Total capacity
80
100
50
Answers
Answer:
Circumference of the base of Cylinder is 30.8 cm .
Curved Surface is 289.52 cm .
To Find :
Height of Cylinder .
Solution :
Firstly we'll find the Radius of Cylinder :
Using Formula :
\longmapsto\tt\boxed{Circumference\:of\:Cylinder=2\pi{r}}⟼
CircumferenceofCylinder=2πr
Putting Values :
\longmapsto\tt{30.8=2\times\dfrac{22}{7}\times{r}}⟼30.8=2×
7
22
×r
\longmapsto\tt{30.8\times{7}=44\:r}⟼30.8×7=44r
\longmapsto\tt{215.6=44\:r}⟼215.6=44r
\longmapsto\tt{r=\cancel\dfrac{215.6}{44}}⟼r=
44
215.6
\longmapsto\tt\bf{r=5\:cm(Approx.)}⟼r=5cm(Approx.)
Now ,
For Height :
Using Formula :
\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}⟼
C.S.AofCylinder=2πrh
Putting Values :
\longmapsto\tt{289.52=2\times\dfrac{22}{7}\times{5}\times{h}}⟼289.52=2×
7
22
×5×h
\longmapsto\tt{289.52\times{7}=44\times{5h}}⟼289.52×7=44×5h
\longmapsto\tt{2026.64=220\:h}⟼2026.64=220h
\longmapsto\tt\bf{h=9.21\:(Approx.)}⟼h=9.21(Approx.)
Explanation:
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