Mathematics

Mathematics

Problem

87. Storage Container A liquid storage container on a truck is in the shape of a cylinder with hemispheres on each end as shown in the figure. The cylinder and hemispheres have the same radius. The total length of the container is 140 ft . (a) Determine the volume VV of the container as a function of the radius xx. (b) Graph the function y=V(x)y=V(x). (c) What is the radius of the container with the largest possible volume? What is the volume? ![](https://storage.googleapis.com/diraq-contents/question-bank/question-images/84f4edcf88fb/2025_11_21_79e6a9e302bad7ca4e56g-3.jpg)

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