what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 6 yd…
what is the volume of this sphere? use $piapprox3.14$ and round your answer to the nearest hundredth. 6 yd cubic yards
Answer
Explanation:
Step1: Recall volume formula
The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius.
Step2: Substitute radius value
Given $r = 6$ yd and $\pi\approx3.14$, we substitute into the formula: $V=\frac{4}{3}\times3.14\times6^{3}$.
Step3: Calculate $6^{3}$
$6^{3}=6\times6\times6 = 216$. So $V=\frac{4}{3}\times3.14\times216$.
Step4: Calculate $\frac{4}{3}\times216$
$\frac{4}{3}\times216 = 4\times72=288$. Then $V = 3.14\times288$.
Step5: Calculate the volume
$3.14\times288 = 904.32$ cubic yards.
Answer:
$904.32$