Explanation Given: A storage bin is to be constructed by removing a sector with central angle θ from a circular piece of tin of radius 10 ft and folding the remainder to the tin to form a cone. In Δ A O B , ∠ A O B = 90 ∘ O A 2 + O B 2 = A B 2 [ using pythagorous theorem ] H 2 + R 2 = 10 2 R 2 = 100 − H 2 Volume of cone, V = 1 3 π R 2 H V = 1 3 π ( 100 − H 2 ) H V ( H ) = 1 3 π ( 100 H − H 3 ) Differentiate w.r

7th Edition

ISBN: 9781524916817

Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE

Publisher: Kendall Hunt Publishing

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Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is dr…

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Chapter 4.6, Problem 41PS

To determine

To find: The maximum volume of a storage bin formed in fashion.

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Chapter 4.6, Problem 40PS

Chapter 4.6, Problem 42PS

Chapter 4 Solutions

Calculus

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The maximum volume of a storage bin formed in fashion.

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Chapter 4 Solutions