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/ \( r = \sqrt[3]{216} = 6 \)
\( r = \sqrt[3]{216} = 6 \)
February 22, 2026
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The volume of a sphere is given by \( V = \frac{4}{3} \pi r^3 \). What is the radius if the volume is \( 288\pi \) cubic units?
\( \frac{4}{3} \pi r^3 = 288\pi \)
\( r^3 = \frac{288 \times 3}{4} = 216 \)
A right circular cone has a base radius of 4 units and height of 9 units. What is the slant height?
Use Pythagorean theorem:
Slant height \( l = \sqrt{r^2 + h^2} = \sqrt{4^2 + 9^2} = \sqrt{16 + 81} = \sqrt{97} \approx 9.85 \)
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