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andreev551 [17]
2 years ago
5

What is the surface area of a sphere with a diameter of 14 cm?

Mathematics
2 answers:
MissTica2 years ago
6 0

\large\begin{gathered} {\underline{\boxed{ \rm {\purple{Formula \:  \:  Using \:  =   \: 4 \: \pi \:  {r}^{2} }}}}}\end{gathered}

  • r represents the radius of sphere.

\bf \ \implies \: \: r \:  =  \:  \frac{Diameter}{2}  \\

\bf \ \implies \: \: r \:  =  \:  \frac{14}{2} \\

\bf \ \implies \: \: r \:  =  \:   \cancel\frac{14}{2} \:   \:  \large ^{7}  \:  \\

\bf \ \implies \: \: r \:  =  \:  7 \: cm

<h3>Substuting the values in formula </h3>

\bf \large \longrightarrow \: \: 4 \: \pi \:  {r}^{2}

\bf \large \longrightarrow \: \: 4 \:  \times  \: \pi \:  \times  {7} \: ^{2}

\bf \large \longrightarrow \: \: 4 \:  \times  \: \pi \:  \times  49

\bf \large \longrightarrow \: \: 196 \: \pi \:  {cm}^{2}

Hence , the surface area of sphere is 196 π cm²

svetlana [45]2 years ago
5 0

Answer: 196πcm²

Given

Diameter = 14

Radius = d/2

= 14/2

= 7

Surface area = 4πr²

Take π = 22/7

= 4×22/7×7×7

= 616 cm²

Must click thanks and mark brainliest

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