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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

User Rlcrews
by
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2 Answers

2 votes

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=
(4)/(3) \pi r^(3). We will solve below.

V=
(4)/(3) \pi (6^(3) )

V=
(4)/(3) \pi(216)

V
\approx \boxed {904.32}

Therefore, our answer is about 904.32 ml³.

I hope this helps!

User Ozgur Sahin
by
5.8k points
3 votes

Answer:

904.3 cubic millimeters

Explanation:

I just did the quiz

User Damiaan Dufaux
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4.9k points