A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off by a 0.03 and -0.06 respectively. Find the total change in the volume of the cone. Also find the relative change and percentage change in volume.

A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off by a 0.03 and -0.06 respectively. Find the total change in the volume of the cone. Also find the relative change and percentage change in volume.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 34E: The numerical value of the volume of a cube equals the numerical value of its total surface area....

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Question

A cone is designed to have a radius of 6 cm and a height of 9 cm, but the radius and height are off by
a 0.03 and -0.06 respectively. Find the total change in the volume of the cone. Also find the relative
change and percentage change in volume.

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