Question

4.6 surface area and volume of spheres
on july 16, 1882 a massive thunderstorm over dubuque, iowa produced huge hailstones. the diameter of some of the hailstones was 17 inches. find the volume of these hailstones. use 3.14 for π and round your answer to the nearest hundredth.
v = in³
fun fact .... these hailstones weighed about 85 pounds! imagine what that would do to your car!

Explanation:

Step1: Find the radius

The radius $r$ of a sphere is half of the diameter $d$. Given $d = 17$ inches, so $r=\frac{d}{2}=\frac{17}{2}=8.5$ inches.

Step2: Use the volume formula for a sphere

The volume formula of a sphere is $V = \frac{4}{3}\pi r^{3}$. Substitute $r = 8.5$ inches and $\pi=3.14$ into the formula:
$V=\frac{4}{3}\times3.14\times(8.5)^{3}$
$V=\frac{4}{3}\times3.14\times614.125$
$V=\frac{4\times3.14\times614.125}{3}$
$V=\frac{7711.06}{3}\approx2570.35$ cubic - inches.

Answer:

$2570.35$