1 Answer

Pratik Garg · Answer 1 · 2024-12-24T15:12:30+0000

$\Large{\boxed{\sf r = 10.2 \: m \: \: (Rounded \: to \: the \: nearest \: tenth.) }}$

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To find the radius of the circle, we will use the given formula:

$\Large{\sf r = \left( (A)/(4 \pi ) \right)^{(1)/(2)} }$

Where:

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$\Large{\boxed{\sf Given \text{:} } \begin{cases} \sf A &=\sf 1493 \: m^3 \\ \sf \pi &=\sf 3.14 \: (Approximately) \end{cases} }$

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Substitute these values into our formula:

$\sf r = \left( (1493 \: m^3)/(4 * 3.14) \right)^{(1)/(2) } = \sqrt{ (1493 \: m^3 )/(12.56) } \approx 10.90272 \: m$

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Rounding our answer to the nearest tenth, we get:

$\boxed{\boxed{\sf r = 10.9 \: m }}$

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