# Sphere A2V

Surface of the sphere is 241 mm2. What is its volume?

Result

V =  351.803 mm3

#### Solution:

$S=241 \ \text{mm}^2 \ \\ S=4 \pi \cdot \ r^2 \ \\ \ \\ r=\sqrt{ \dfrac{ S }{ 4 \pi } }=\sqrt{ \dfrac{ 241 }{ 4 \cdot \ 3.1416 } } \doteq 4.3793 \ \text{mm} \ \\ \ \\ V=\dfrac{ 4 }{ 3 } \cdot \ \pi \cdot \ r^3=\dfrac{ 4 }{ 3 } \cdot \ 3.1416 \cdot \ 4.3793^3 \doteq 351.8029 \doteq 351.803 \ \text{mm}^3$ Our examples were largely sent or created by pupils and students themselves. Therefore, we would be pleased if you could send us any errors you found, spelling mistakes, or rephasing the example. Thank you!

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