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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 .)

 May 20, 2022
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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 [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  

.

 May 20, 2022

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