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The surface area of a sphere is 616 sq cm. Find its radius tan β = 34 - Mathematics

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Question

The surface area of a sphere is 616 sq cm. Find its radius tan β = `3/4`

Sum

Solution

Given, surface area of sphere = 616 cm2

We know that,

Surface area of sphere = 4πr2

∴ 4πr2 = 616

⇒ r2 = `616/(4π)`

⇒ r2 = `(616 xx 7)/(4 xx 22)`

⇒ r2 = 49

⇒ r = 7 cm

Hence, radius of sphere is 7 cm.

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2021-2022 (April) Basic - Outside Delhi Set 1

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