Find the diameter of the sphere, whose total surface area is $3850 c m 2 .$

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35 cm

37 cm

30 cm

45 cm

answer is A.

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Detailed Solution

It is given that total surface area of sphere is

3850 {cm}^{2}

.
Let r be the radius of the sphere.
We know that the total surface area of a sphere =

4 π r^{2}

∴ 4 π r^{2} = 3850 {cm}^{2}

\Rightarrow 4 \times \frac{22}{7} \times r^{2} = 3850

\Rightarrow r^{2} = 306.25

\Rightarrow r = 17.5 cm

Therefore, the diameter of the sphere =

2 \times 17.5

\Rightarrow Diameter of t h e sp h ere = 35 cm

So, the correct option is 1.

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