Question

what is the volume of this sphere? round your answer to the nearest hundredth. 1 ft blank cubic feet 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 \(r = 16\) ft. Then \(V=\frac{4}{3}\pi(16)^{3}\).
First, calculate \(16^{3}=16\times16\times16 = 4096\).
So \(V=\frac{4}{3}\pi\times4096=\frac{16384}{3}\pi\).

Step3: Calculate the numerical value

Using \(\pi\approx3.14159\), we have \(V=\frac{16384}{3}\times3.14159\).
\(\frac{16384}{3}\times3.14159\approx5461.33\times3.14159\approx17157.28\) (rounded to the nearest hundredth).

Answer:

\(17157.28\)