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# Maximum volume cone A cone is constructed by cutting a ISBN: 9780321570567 2

## Solution for problem 21E Chapter 4.4

Calculus: Early Transcendentals | 1st Edition

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Problem 21E

Maximum volume cone A cone is constructed by cutting a sector of angle ? from a circular sheet of metal with radius 20 cm. The cut sheet is then folded up and welded (see figure). What angle 0 maximizes the volume of the cone?

Step-by-Step Solution:

Solution Step 1: Consider that the cone is constructed by cutting a sector of angle from a circular sheet of metal The radius of that circular sheet denote it by R is 20cm R=20 cm Suppose r is the base radius of the cone and h is height of the cone Consider the following figure

Step 2 of 2

##### ISBN: 9780321570567

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