Question

A company sells bath oils contained in spherical, water-soluble pods. The circumference of each spherical pod is 37.68 millimeters. What is the volume of a pod? (Use 3.14 for . Round the answer to the nearest tenth, if necessary. Recall that the formula for the volume for a sphere is and the formula for the circumference of the great circle is .)
cubic millimeters

Answer 1

Hello!

First of all, to find the volume we will want to find the radius. First let's divide our circumference by pi.

37.68/3.14=12

We find half of this for the radius.

12/2=6

Now we use the formula V=$\frac{4}{3} \pi r^{3}$. We will solve below.

V=$\frac{4}{3} \pi (6^{3} )$

V=$\frac{4}{3} \pi(216)$

V$\approx \boxed {904.32}$

Therefore, our answer is about 904.32 ml³.

I hope this helps!