Question

find the volume of this sphere. use 3 for $pi$. v $approx$ ?ft$^{3}$ v = $\frac{4}{3}pi r^{3}$ hint: the radius (r) is 1/2 of the diameter.

Explanation:

Step1: Find the radius

The diameter is 16 ft, so $r=\frac{16}{2}=8$ ft.

Step2: Substitute values into volume formula

Using $V = \frac{4}{3}\pi r^{3}$ and $\pi = 3$, we have $V=\frac{4}{3}\times3\times8^{3}$.

Step3: Calculate the volume

First, $8^{3}=8\times8\times8 = 512$. Then $\frac{4}{3}\times3\times512=4\times512 = 2048$ $ft^{3}$.

Answer:

2048