Question

what is the volume of this sphere? round your answer to the nearest hundredth. 16 mm cubic millimeters submit

Explanation:

Step1: Recall the volume formula for a sphere

The volume formula for 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 \( r = 16\) mm. Then \( V=\frac{4}{3}\pi(16)^{3}\). First, calculate \(16^{3}=16\times16\times16 = 4096\). So \( V=\frac{4}{3}\pi\times4096\).

Step3: Calculate the value

\( V=\frac{16384}{3}\pi\). Using \( \pi\approx3.14159\), then \( V=\frac{16384\times3.14159}{3}\). \(16384\times3.14159 = 16384\times(3 + 0.14159)=16384\times3+16384\times0.14159=49152+2320.03776 = 51472.03776\). Then \( V=\frac{51472.03776}{3}\approx17157.35\)

Answer:

\(17157.35\)