Question

Find the square root of each of the following by prime factorisation.
1)√7744
2)√8281
3)√4096
4)√28900
step by step ..​

Answer 1

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 .

Step-by-step explanation:

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