what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 6 yd cubic…
what is the volume of this sphere? use π ≈ 3.14 and round your answer to the nearest hundredth. 6 yd cubic yards
Answer
Answer:
$904.32$
Explanation:
Step1: Identify the radius
The diameter is 6 yd, so the radius $r = \frac{6}{2}=3$ yd.
Step2: Recall the volume formula
The volume formula for a sphere is $V=\frac{4}{3}\pi r^{3}$.
Step3: Substitute the values
Substitute $r = 3$ and $\pi\approx3.14$ into the formula: $V=\frac{4}{3}\times3.14\times3^{3}$.
Step4: Calculate the volume
First, $3^{3}=27$. Then $\frac{4}{3}\times3.14\times27 = 4\times3.14\times9=113.04\times 8 = 904.32$ cubic - yards.