Question

what is the volume of this sphere? round your answer to the nearest hundredth. 14 mm blank cubic millimeters submit

Explanation:

Step1: Recall the formula for the volume of a sphere

The formula for the volume \( V \) of a sphere is \( V=\frac{4}{3}\pi r^{3} \), where \( r \) is the radius of the sphere.

Step2: Substitute the given radius into the formula

Given \( r = 14\) mm. Then \( V=\frac{4}{3}\pi(14)^{3}\). First, calculate \(14^{3}=14\times14\times14 = 2744\). So \( V=\frac{4}{3}\pi\times2744\).

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Step3: Calculate the numerical value

Using \( \pi\approx3.14159\), we have \( V=\frac{10976}{3}\times3.14159\).
\(\frac{10976}{3}\approx3658.67\), and \(3658.67\times3.14159\approx 11488.21\)

Answer:

\(11488.21\)