29. A sphere is inscribed in a cube of volume 8 cubic meters. What are the surface area and volume of the sphere? Round your answers to two decimal places. .

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Answer

6. A = 4\pi r^2 \approx 8.38

Steps

Step 1 ：1. ext{Volume of cube} = s^3 = 8

Step 2 ：2. s = 2

Step 3 ：3. d = \sqrt{2}s = 2\sqrt{2}

Step 4 ：4. r = \frac{1}{2}d = \sqrt{2}

Step 5 ：5. V = \frac{4}{3}\pi r^3 \approx 4.19

Step 6 ：6. A = 4\pi r^2 \approx 8.38