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Mathematics

If log v + log 3 = log π + log 4 + 3 log r, the value of v in terms of r and other constants is :

  1. 43πr3\dfrac{4}{3}πr^3

  2. 4πr2

  3. πr3

  4. 43πr2\dfrac{4}{3}πr^2

Logarithms

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Answer

Given,

⇒ log v + log 3 = log π + log 4 + 3 log r

⇒ log 3v = log π + log 4 + log r3

⇒ log 3v = log 4πr3

⇒ 3v = 4πr3

⇒ v = 43πr3\dfrac{4}{3}πr^3

Hence, Option 1 is the correct option.

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