Question

what is the volume of this sphere? round your answer to the nearest hundredth. 7.1 yd cubic yards

Explanation:

Step1: Recall volume formula

The volume formula for a sphere is $V = \frac{4}{3}\pi r^{3}$, where $r$ is the radius of the sphere. Here $r = 7.1$ yd.

Step2: Substitute the value of radius

$V=\frac{4}{3}\pi(7.1)^{3}=\frac{4}{3}\pi\times357.911$.

Step3: Calculate the volume

$V=\frac{4\times357.911\pi}{3}\approx\frac{4\times357.911\times3.14159}{3}\approx1493.53$ (rounded to the nearest hundred - th).

Answer:

$1493.53$