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/ #### #### 2.82
#### #### 2.82
February 22, 2026
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V = \frac{1}{3} \pi r^2 h \Rightarrow 100 = \frac{1}{3} \pi r^2 \times 12
= 4\pi r^2 \Rightarrow r^2 = \frac{100}{4\pi} = \frac{25}{\pi}
r = \sqrt{\frac{25}{\pi}} = \frac{5}{\sqrt{\pi}} \approx 2.82 \, \text{cm}
Question 15:
A sphere is inscribed in a cube with edge length 10 cm. Find the volume of the sphere.
Solution 15:
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