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The diameter D of a sphere is 13.6 mm calculate thr sphere volume Vuse the value 3.14 for pie, and around to the nearest 10th
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The diameter D of a sphere is 13.6 mm calculate thr sphere volume Vuse the value 3.14 for pie, and around to the nearest 10th

The diameter D of a sphere is 13.6 mm calculate thr sphere volume Vuse the value 3.14 for-example-1
User Kaznov
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1 Answer

27 votes
27 votes

Step 1

State the volume of a sphere


\begin{gathered} v=(4)/(3)\pi r^3 \\ \pi=3.14 \\ (Diameter)/(2)=\text{radius}=(13.6)/(2)=6.8\operatorname{mm} \end{gathered}

Step 2

Find the volume of the sphere by substitution of values.


\begin{gathered} v=(4)/(3)*3.14*(6.8)^3 \\ v=(4)/(3)*3.14*314.432 \\ v=1316.421973\operatorname{mm} \\ v\approx1316.4\operatorname{mm}^3\text{ to the nearest tenth} \end{gathered}

Hence, the volume of the sphere= 1316.4mm³ to the nearest tenth

User Anabar
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