what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 12 yd cubic…

what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 12 yd cubic yards

what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 12 yd cubic yards

Answer

Explanation:

Step1: Find the radius

The diameter is 12 yd, so the radius $r=\frac{12}{2}=6$ yd.

Step2: Use the volume - formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 6$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times6^{3}$.

Step3: Calculate the value

First, calculate $6^{3}=6\times6\times6 = 216$. Then, $\frac{4}{3}\times3.14\times216=4\times3.14\times72$. $4\times3.14 = 12.56$, and $12.56\times72 = 904.32$.

Answer:

$904.32$