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netineya [11]
2 years ago
12

Find the radius of a sphere whose surface area is 154cm².​with stepss

Mathematics
2 answers:
worty [1.4K]2 years ago
7 0

Answer:

THIS IS YOUR ANSWER:

area \: of \: spere \:  = 4\pi \: r {}^{2}  \\ 154cm {}^{2} = 4 \times  \frac{22}{7}  \times r {}^{2}

\frac{154 \times 7}{4 \times 22} = r {}^{2} \\ r {}^{2} = 12.25 \\

r =  \sqrt{12.25} \\ r = 3.5cm

<em>✍️</em><em>HOPE</em><em> </em><em>IT HELPS</em><em> </em><em>YOU</em><em> </em><em>✍️</em>

AURORKA [14]2 years ago
7 0

Answer:

The radius of sphere is 3.5 cm.

Step-by-step explanation:

<u>SOLUTION</u> :

Here's the required formula to find the radius of sphere :

\longrightarrow{\pmb{\sf{SA_{(Sphere)}  = 4 \pi{r}^{2}}}}

  • → SA = surface area
  • → π = 22/7
  • → r = radius

Substituting all the given values in the formula to find the radius of sphere :

\longrightarrow{\sf{SA_{(Sphere)}  = 4 \pi{r}^{2}}}

\longrightarrow{\sf{154 = 4 \times  \dfrac{22}{7} \times {r}^{2}}}

\longrightarrow{\sf{154 = \dfrac{88}{7} \times {r}^{2}}}

\longrightarrow{\sf{{r}^{2} = 154 \times  \dfrac{7}{88} }}

\longrightarrow{\sf{{r}^{2} = \dfrac{1078}{88} }}

\longrightarrow{\sf{{r}^{2} = 12.25}}

\longrightarrow{\sf{r = \sqrt{12.25}}}

\longrightarrow{\sf{r = 3.5}}

\star{\boxed{\sf{\pmb{r = 3.5 \: cm}}}}

Hence, the radius of sphere is 3.5 cm.

\rule{200}2

<u>DIAGRAM</u> :

Here's the diagram of sphere with radius 3.5 cm.

\setlength{\unitlength}{1.2cm}\begin{picture}(0,0)\thicklines\qbezier(2.3,0)(2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,2.121)(0,2.3)\qbezier(-2.3,0)(-2.121,-2.121)(0,-2.3)\qbezier(2.3,0)(2.121,-2.121)(-0,-2.3)\qbezier(-2.3,0)(0,-1)(2.3,0)\qbezier(-2.3,0)(0,1)(2.3,0)\thinlines\qbezier (0,0)(0,0)(0.2,0.3)\qbezier (0.3,0.4)(0.3,0.4)(0.5,0.7)\qbezier (0.6,0.8)(0.6,0.8)(0.8,1.1)\qbezier (0.9,1.2)(0.9,1.2)(1.1,1.5)\qbezier (1.2,1.6)(1.2,1.6)(1.38,1.9)\put(0.2,1){\bf{3.5\ cm}}\end{picture}

\rule{300}{2.5}

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