Question

incorrect
one of the digits in your answer is wrong. check your work carefully.
the diameter, d, of a sphere is 20.8 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
your answer
v = 4709.7 cm³

Explanation:

Step1: Find the radius

The radius \( r=\frac{D}{2} \). Given \( D = 20.8\mathrm{cm} \), so \( r=\frac{20.8}{2}=10.4\mathrm{cm} \).

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 \( r = 10.4 \) into the formula:

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Answer:

\(4710.1\mathrm{cm}^{3}\)