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Mathematics

If log V + log 3 = log π + log 4 + 3log r, find V in terms of other quantities.

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Given,

log V + log 3 = log π + log 4 + 3log r

⇒ log V = log π + log 4 + 3log r - log 3

⇒ log V = log π + log 4 + log r³ - log 3

⇒ log V = log $\dfrac{π4r^3}{3}$

⇒ V = $\dfrac{4}{3}πr^3$ .

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