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 .)

Guest May 20, 2022

#1**+1 **

*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 [missing in the original] and the formula for the circumference of the great circle is [missing in the original].) *

The circumference of a circle is 2 π r so (2)(3**.**14) r = 37**.**68

r = 37**.**68 / 6**.**28

**r = 6**

The volume of a sphere is (4/3) π r^{3}

V = (4/3)(3**.**14)(6^{3})

V = (4/3)(3**.**14)(216) = 904**.**32 round to nearest tenth per problem = **904.3 mm ^{3}**

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Guest May 20, 2022