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the diameter, d, of a sphere is 6.8 m. calculate the spheres volume, v.…

Question

the diameter, d, of a sphere is 6.8 m. calculate the spheres volume, v. use the value 3.14 for π, and round your answer to the nearest tenth. (do not round any intermediate calculations.) your answer v = □ m³

Explanation:

Step1: Find the radius

The radius \( r=\frac{D}{2} \). Given \( D = 6.8\ m \), so \( r=\frac{6.8}{2}=3.4\ m \).

Step2: Use the volume formula for a sphere

The volume formula of a sphere is \( V=\frac{4}{3}\pi r^{3} \). Substitute \( \pi = 3.14 \) and \( r = 3.4 \) into the formula:

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Answer:

\(164.3\)