(a) Explanation Given: The volume of right circular cone is V = π r 2 h / 3 R = Constant. Calculation: The rate of change of volume with respect to height can be calculated as d V d h = d d h ( π r 2 h 3 ) d V (b) To determine The rate of change of the volume with respect to the radius

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ISBN: 9781305177291

Author: James Stewart, Troy Day

Publisher: Cengage Learning

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Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

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 3, Problem 77E

(a)

To determine

The rate of change of the volume with respect to the height

(b)

To determine

The rate of change of the volume with respect to the radius

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Chapter 3, Problem 76E

Chapter 3, Problem 78E

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Chapter 3 Solutions

Biocalculus: Calculus For Life Sciences

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The rate of change of the volume with respect to the height

Solution Summary: The author explains the rate of change of volume with respect to the height and radius of the right circular cone.

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