Concept explainers
Verifying a Formula
(a) Given a circular sector with radius L and central angle
(b) By joining the straight-line edges of the sector in part (a), a right circular cone is formed (see figure) and the lateral surface area of the cone is the same as the area of the sector. Show that the area is
(c) Use the result of part (b) to verify that the formula for the lateral surface area of the frustum of a cone with slant height L and radii r1 and r2 (see figure) is
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Calculus: Early Transcendental Functions
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