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Mathematics

The radius of a sphere is 2r, then its volume is equal to :

  1. 43\dfrac{4}{3} πr3

  2. 4πr3

  3. 8πr33\dfrac{8πr^3}{3}

  4. 32πr33\dfrac{32πr^3}{3}

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Answer

Given:

Radius of a sphere = 2r

By formula,

Volume of sphere = 43\dfrac{4}{3} π(radius)3

= 43\dfrac{4}{3} x π x (2r)3

= 43\dfrac{4}{3} x π x 8r3

= 4×83\dfrac{4 \times 8}{3} πr3

= 323\dfrac{32}{3} πr3

Hence, option 4 is the correct option.

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