A right circular cone , at a given instant to, the radius of its base is r (to ) - 20 cm. and the height of the cone is h (to)= 30 cm. If h is increasing at a rate of 2 cm. /sec. and r is increasing at a rate of 1 em./see. Find the rate at which the volume is increasing at this instant. ( where v=r²h ).

A right circular cone , at a given instant to, the radius of its base is r (to ) - 20 cm. and the height of the cone is h (to)= 30 cm. If h is increasing at a rate of 2 cm. /sec. and r is increasing at a rate of 1 em./see. Find the rate at which the volume is increasing at this instant. ( where v=r²h ).

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 3E

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