# Volume of ball

Find the volume of a volleyball that has a radius of 4 1/2 decimeters. Use 22/7 for π

Correct result:

V =  381.857 dm3

#### Solution:

$r=4 + \dfrac{ 1 }{ 2 }=\dfrac{ 9 }{ 2 }=4.5 \ \text{dm} \ \\ \ \\ V=\dfrac{ 4 }{ 3 } \pi r^3 \ \\ \ \\ V=\dfrac{ 4 }{ 3 } \cdot \ \dfrac{ 22 }{ 7 } \cdot \ r^3=\dfrac{ 4 }{ 3 } \cdot \ \dfrac{ 22 }{ 7 } \cdot \ 4.5^3=\dfrac{ 2673 }{ 7 }=381.857 \ \text{dm}^3$

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