Question

The total surface area of a sphere is 3850cm2.The diameter of the sphere is

Answer 1

Here is your solutions

Given :-

The total surface area of a sphere is 3850cm^2.

To find the diameter of the sphere

The total surface area of a sphere = 4πr^2

3850 cm^2 = 4×22/7 × r^2

3850 cm^2 = 88/7 × r^2

43.75 cm^2 = r^2 / 7
43.75 × 7 = r^2

306.25 = r^2
17.5 = r ^2



diameter = 2× redius

Diameter = 2×17.5

Diameter = 35 cm

Hence

Diameter of the sphere is 35 cm

hope you happy .

Answer 2

Hi there !

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Total surface area = 3850 cm²

We know that;

Total surface area of sphere = 4 π r²

$\mathsf{4 \: \pi \: r {}^{2} = 3850} \\ \\ \mathsf{4 \times \frac{22}{7} \times r {}^{2} = 3850} \\ \\ \mathsf{ \frac{88}{7}r {}^{2} = 3850 } \\ \\ \mathsf{88 \: r {}^{2} = 3850 \times 7} \\ \\ \mathsf{88 \: r {}^{2} = 26950} \\ \\ \mathsf{r {}^{2} = \frac{26950}{88} = 306.25 } \\ \\ \mathsf{r = \sqrt{306.25} } \\ \\ \mathsf{r = 17.5 \: cm}$

Hence, radius of sphere = 17.5 cm

Now,

Diameter = 2 × radius

⇒ Diameter = 2 × 17.5

⇒ Diameter = 35 cm

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Thanks for the question !

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