Question

The volume and surface area of a sphere are numerically the same then its radius is​

Answer 1

Answer:

surface area of sphere = 4112 volume of sphere is 4/3 Tr3 3r2 = r^3.

when volume and surface area is equal then the radius will be 3 units

Answer 2

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The volume and surface area of a sphere are numerically the same then its radius is _________.

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Let the radius be r units

Surface area of sphere = 4πr²

Volume of sphere = 4πr³ ÷ 3

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According to given conditions

Surface = Volume

➟ 4πr² = 4πr³ ÷ 3

➟ 4πr² × 3 = 4πr³

➟ 12πr² = 4πr³

➟ 12πr² ÷ 4πr³ = 1

➟ 3 ÷ r = 1

➟ r = 1 × 3

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∴ r = Radius = 3 units

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