Question

find the radius of a cone it its covered surface area is 352sq and slant height is 28 CM​

Answer 1

Given :

• Curved Surface Area of Cone is 352 cm² .
• Slant Height of Cone is 28 cm .

To Find :

• Radius of Cone .

Solution :

$\longmapsto\tt{Slant\:Height\:(l)=28\:cm}$

Using Formula :

$\longmapsto\tt\boxed{C.S.A\:of\:Cone=\pi{rl}}$

Putting Values :

$\longmapsto\tt{352=\dfrac{22}{{\cancel{7}}}\times{r}\times{{\cancel{28}}}}$

$\longmapsto\tt{352=22\times{4\:r}}$

$\longmapsto\tt{352=88\:r}$

$\longmapsto\tt{r=\cancel\dfrac{352}{88}}$

$\longmapsto\tt\bf{r=4\:cm}$

So , The Radius of Cone is 4 cm .

Answer 2

The surface area of cone = $\pi(r)(l) = 352 cm^{2}$ [r= radius; l = slant height]

$\implies r = \frac{352 \times 7}{22 \times 28}\\\implies r = \frac{16}{4} \\\implies r = 4\,cm$

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