Question

the diameter, d, of a sphere is 10.8 cm. 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 computations.) v = □ cm³

Explanation:

Step1: Find the radius

The radius \( r=\frac{D}{2} \). Given \( D = 10.8\mathrm{cm} \), so \( r=\frac{10.8}{2}=5.4\mathrm{cm} \).

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 \( r = 5.4 \) into the formula:

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Answer:

\(659.1\mathrm{cm}^{3}\)