Question

The surface area of a sphere 616cm find its radius​

Answer 1

$\boxed{ \huge \pink{\mathfrak{solution}}}$

Given:

◆ Surface area of sphere is 616cm^2

To find :

● Radius

As we know that ,

◆ Surface Area of sphere is

$\huge\boxed{ \purple{ \bold{4\pi \: {r}^{2} }}}$

$\rightarrow \: 616 = 4\pi \: {r}^{2} \\ \\ \rightarrow \: {r}^{2} = \frac{616}{4\pi} \\ \\ \rightarrow \: {r}^{2} = \frac{616 \times 7}{4 \times 22} \\ \\ \rightarrow \: {r}^{2} = \frac{4312}{88} \\ \\ \rightarrow \: {r}^{2} = \cancel \frac{4312}{88} 49 \\ \\ \rightarrow \: {r}^{2} = 49 \\ \\ \rightarrow \: r = \sqrt{49} \\ \\ \rightarrow \: r = 7$

Hence ,the radius of the sphere is

$\huge \boxed{ \green{\bold{7cm}}}$

Answer 2

$\color {red}\large\bold\star\underline\mathcal{Question:-}$ $\textbf{we have to find radius of sphere ?}$

$\</strong><strong>l</strong><strong>a</strong><strong>r</strong><strong>g</strong><strong>e</strong><strong>\underline\blue{\sf Given:}$ =

$\textbf{</strong><strong>Surface</strong><strong> </strong><strong>Area</strong><strong> </strong><strong>is</strong><strong> </strong><strong>6</strong><strong>1</strong><strong>6</strong><strong>\</strong><strong>:</strong><strong>c</strong><strong>m</strong><strong>^</strong><strong>{</strong><strong>2</strong><strong>}</strong><strong>}$

$\bold{\boxed{\huge{\boxed{\orange{\small{\boxed{\huge{\red{\bold{\:Answer}}}}}}}}}}$

$\textbf{</strong><strong>we</strong><strong> </strong><strong>know</strong><strong> </strong><strong>that</strong><strong> </strong><strong>surface</strong><strong> </strong><strong>area</strong><strong> </strong><strong>of</strong><strong> </strong><strong>sphere</strong><strong> </strong><strong>is</strong><strong> </strong><strong>}</strong><strong>=</strong><strong>=</strong><strong>=</strong><strong>=</strong><strong> </strong><strong>\large\red{\boxed{\sf Area(A)</strong><strong>\</strong><strong>:</strong><strong>=</strong><strong>\</strong><strong>:</strong><strong>4\pi {r}^{2}</strong><strong>}}$

so,

$4\pi {r}^{2} = 616 \\ \\ 4 \times \frac{22}{7} \times {r}^{2} = 616 \\ \\ \\ {r}^{2} = \frac{616 \times 7}{4 \times 22} \\ \\ r^{2} = 7 \times 7$

$\large\red{\boxed{\sf </strong><strong>radius</strong><strong>\:of\:</strong><strong>sphere</strong><strong>=</strong><strong>7</strong><strong>\:cm}}$

$\rule{200}{4}$

$\Large\bold{\boxed{\boxed{ADDITIONAL\:BRAINLY\:INFORMATION\:-:}}}$

Volume of sphere =

$\color {red}\huge\bold\star\underline\mathcal{</strong><strong>\frac{4}{3} \pi {r}^{3}</strong><strong>}$