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 .)
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 r3
V = (4/3)(3.14)(63)
V = (4/3)(3.14)(216) = 904.32 round to nearest tenth per problem = 904.3 mm3
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