Question

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

• 98pi cm squared
• 28pi cm squared
• 784pi cm squared
• 196pi cm squared

Answer 1

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

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Answer 2

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

• r represents the radius of sphere.

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

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

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

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

Substuting the values in formula

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

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

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

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

Hence , the surface area of sphere is 196 π cm²