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Maru [420]
2 years ago
9

What is the approximate radius of a sphere of volume 528 m³? round the answer to hundreth

Mathematics
2 answers:
makvit [3.9K]2 years ago
5 0

\\ \sf\longmapsto V=\dfrac{4}{3}πr^3

\\ \sf\longmapsto 528=\dfrac{4}{3}πr^3

\\ \sf\longmapsto \pi r^3=528\times \dfrac{3}{4}

\\ \sf\longmapsto πr^3=32(3)

\\ \sf\longmapsto \pi r^3=96

\\ \sf\longmapsto 3.14r^3=96

\\ \sf\longmapsto r^3=\dfrac{96}{3.14}

\\ \sf\longmapsto r^3=30.57

\\ \sf\longmapsto r=3.09m=3.1m

Margarita [4]2 years ago
3 0

\large \boldsymbol {} \sf V_{sp}=\dfrac{4}{3} \pi r^3 \\\\ \displaystyle   \\ \frac{4}{3}  \pi r^3=528 \ m^3 \\\\\\ r=\sqrt[3]{\sf \frac{528}{\pi } \cdot \frac{3}{4} }  \approx5,0\underline 13\approx5,01

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