Question

the diameter, d, of a sphere is 16.8 mm. 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.)

Explanation:

Step1: Find the radius of the sphere

The radius \( r \) of a sphere is half of its diameter. Given \( D = 16.8\) mm, so \( r=\frac{D}{2}=\frac{16.8}{2}=8.4\) mm.

Step2: Use the formula for the volume of a sphere

The formula for the volume of a sphere is \( V=\frac{4}{3}\pi r^{3}\). Substitute \( r = 8.4\) mm and \( \pi=3.14\) into the formula:

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Step3: Round the result

Round \( 2481.55368\) to the nearest tenth. The digit in the hundredth place is \( 5\), so we round up the digit in the tenth place. So \( V\approx2481.6\) \(mm^{3}\).

Answer:

\(2481.6\)