Find the diameter $ d $ of a sphere if volume $V = 7195$.

$d = 82.8897$

STEP 1: find radius $ r $

To find radius $ r $ use formula:

$$ V = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$

After substituting $ V = 7195 $ we have:

$$ 7195 = \dfrac{ 4 \cdot r^2 \cdot \pi }{ 3 }$$ $$ 7195 \cdot 3 = 4 \cdot r^2 \cdot \pi $$ $$ 21585 = 4 \cdot r^2 \cdot \pi $$ $$ r^2 \cdot \pi = \dfrac{ 21585 }{ 4 } $$ $$ r^2 \cdot \pi = \frac{ 21585 }{ 4 } $$ $$ r = \sqrt{ \frac{ \frac{ 21585 }{ 4 } }{\pi} } $$ $$ r \approx 41.4449 $$

STEP 2: find diameter $ d $

To find diameter $ d $ use formula:

$$ d = 2 \cdot r $$

After substituting $ r = 41.4449 $ we have:

$$ d = 2 \cdot 41.4449 $$ $$ d \approx 82.8897 $$

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