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Maximising Component Volume Worksheet

Overview

The diagram below shows a solid engineering component which consists of a solid cylinder of length LL and radius rr, together with a right circular cone with semi-vertical angle θ=18 The total surface area of the component is (25). The component is to be manufactured so as to have maximum volume.

Calculate the values of r and L for maximum volume.30afc7139f0b77ddb08d8e19r= ,L=