what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 16 yd cubic…

Answer:

$2143.57$

Explanation:

Step1: Find the radius

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

Step2: Use the volume - formula

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 8$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times8^{3}$.

Step3: Calculate $8^{3}$

$8^{3}=8\times8\times8 = 512$.

Step4: Calculate the product

$V=\frac{4}{3}\times3.14\times512=\frac{4\times3.14\times512}{3}=\frac{6430.72}{3}\approx2143.57$ cubic yards.