Discussion
A basketball has a volume of 5600cm³. its radius is
Answer: C
Rearrange the sphere volume formula for the radius.
\[ \frac{4}{3}\pi r^{3} = 5600 \quad\Longrightarrow\quad r^{3} = \frac{5600 \times 3}{4\pi} = \frac{16800}{12.566} = 1337 \]
\[ r = \sqrt[3]{1337} \approx 11 \text{ cm} \]
Checking against the options is quick: \( 10^{3} = 1000 \) is too small and \( 12^{3} = 1728 \) too large, so 11 is the only candidate that can work.
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