Question

Find the volume of a sphere, whose diameter is 8 mm.(Take n = 3.14) (Round your answer to the nearest tenth).​

Answer 1

Given:-

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• Diameter sphere = 8mm
• 
  `\small \pi = 3.14`

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To find:-

• Volume of sphere

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Solution:

To find volume of sphere first we have to convert Diameter into radius .

Diameter = 2 radius

So:-

⇢Diameter = 2 radius

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⇢Radius = Diameter/2

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⇢Radius = 8/2

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⇢Radius = 2 × 2 × 2/2

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⇢Radius = 2 × 2/1

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⇢Radius = 4/1

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⇢Radius = 4 mm.

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Now Finally Let's find volume of sphere.

We know:-

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`\star\boxed{\rm Volume~of~sphere=(4)/(3)\pi r^3}`

so:-

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`\dashrightarrow \sf Volume~of~sphere=(4)/(3)* 3.14 * 4^3\\`

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`\dashrightarrow \sf Volume~of~sphere=(4)/(3)* (314)/(100) * 4^3\\`

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`\dashrightarrow \sf Volume~of~sphere=(4)/(3)* (314)/(100) * 4* 4* 4\\`

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`\dashrightarrow \sf Volume~of~sphere=(4)/(3)* (314)/(100) * 64\\`

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`\dashrightarrow \sf Volume~of~sphere=1.33* (314)/(100) * 64\\`

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`\dashrightarrow \sf Volume~of~sphere= (1.33*314 * 64)/(100)\\`

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`\dashrightarrow \sf Volume~of~sphere= (26,727.68)/(100)\\`

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`\dashrightarrow \sf Volume~of~sphere=26,7.28 (approx)\\`

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`\therefore \underline{ \textbf{ \textsf{Volume~of~sphere = \red{26,7.28(approx)}}}}`