7 for pi....

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incinafrost @incinafrost

October 2022 1 0 Report

8. Find the volume of a volleyball that has a radius of 4 ½ decimeters. Use 22/7 for pi.

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Verified answer

Volume

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8. Find the volume of a volleyball that has a radius of 4½ decimeters. Use 22/7 for pi.

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Solution:

$\big \begin{aligned}&\sf V=\frac{4}{3} \pi r^3 \\&\sf V=\frac{4}{3} \times \frac{22}{7} \times (4.5dm)^3 \\&\sf V=\frac{4}{3} \times \frac{22}{7} \times (\frac{9}{2}dm)^3 \\&\sf V=\frac{4}{3} \times \frac{22}{7} \times \frac{729}{8}dm^3 \\&\sf V=\frac{\cancel{4}}{\cancel{3}} \times \frac{22}{7} \times \frac{\cancel{729}}{\cancel{8}}dm^3 \\&\sf V=\frac{\cancel{22}}{7} \times \frac{243}{\cancel{2}}dm^3 \\&\sf V=\frac{22}{7} \times \frac{243}{2}dm^3 \\&\sf V=\frac{11}{7} \times 243dm^3 \\&\sf V=\frac{2678}{7} 243dm^3 \\&\sf V=318.8571428571dm^3 \\&\sf \purple{V\approx 318.86m^3} \end{aligned}$

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Answer:

The volume of a volleyball is approximately $\boxed{\bold{\purple{\large 318.86 \ \ cubic \ \ decimeters}}}$ .

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