7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is shown in Figure 1. The surface area of the capsule is 2 cm². i) ii) Figure 1 Show that the volume of the capsule is V=r- m³. Find the value(s) of r so that the volume of the capsule is maximum. Find the maximum volume of the capsule.
7. A capsule in the form of a cylinder of length t cm with hemisphere of radius r cm at two ends is shown in Figure 1. The surface area of the capsule is 2 cm². i) ii) Figure 1 Show that the volume of the capsule is V=r- m³. Find the value(s) of r so that the volume of the capsule is maximum. Find the maximum volume of the capsule.
Chapter9: Math Models And Geometry
Section: Chapter Questions
Problem 488PT: A coffee can is shaped like a cylinder with height 7 inches and radius 5 inches. Find (a) the...
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