what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 14 yd cubic…

Answer:

11488.21

Explanation:

Step1: Identify the radius

The diameter is 14 yd, so radius $r = \frac{14}{2}=7$ yd.

Step2: Use the volume - formula for a sphere

The volume formula of a sphere is $V=\frac{4}{3}\pi r^{3}$. Substitute $r = 7$ yd and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times7^{3}$.

Step3: Calculate $7^{3}$

$7^{3}=7\times7\times7 = 343$.

Step4: Calculate the product

$V=\frac{4}{3}\times3.14\times343=\frac{4\times3.14\times343}{3}=\frac{4308.08}{3}\approx1436.03$ (rounded to the nearest hundred - th).