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Answers
Answer:
Given :
Circumference of the base of Cylinder is 88 cm .
Height is 5 cm .
To Find :
Curved Surface Area of Cylinder .
Solution :
Firstly we will find the Radius of Cylinder :
Using Formula :
\longmapsto\tt\boxed{Circumference\:of\:Circle=2\pi{r}}⟼
CircumferenceofCircle=2πr
Putting Values :
\longmapsto\tt{88=2\times\dfrac{22}{7}\times{r}}⟼88=2×
7
22
×r
\longmapsto\tt{88\times{7}=44\:r}⟼88×7=44r
\longmapsto\tt{616=44\:r}⟼616=44r
\longmapsto\tt{r=\cancel\dfrac{616}{44}}⟼r=
44
616
\longmapsto\tt\bf{r=14\:cm}⟼r=14cm
Now ,
For Curved Surface Area :
Using Formula :
\longmapsto\tt\boxed{C.S.A\:of\:Cylinder=2\pi{rh}}⟼
C.S.AofCylinder=2πrh
Putting Values :
\longmapsto\tt{2\times\dfrac{22}{{\cancel{7}}}\times{{\cancel{14}}}\times{5}}⟼2×
7
22
×
14
×5
\longmapsto\tt{44\times{2}\times{5}}⟼44×2×5
\longmapsto\tt{88\times{5}}⟼88×5
\longmapsto\tt\bf{440\:{cm}^{2}}⟼440cm
2
So , The C.S.A of Cylinder is 440 cm² .