Consider a cone with a radius of 5 cm and a height of 12 cm. Find the change in the volume of the cone if there is a change in the radius by 0.04 and in the height by 0.02. Also find the relative and percentage change in the volume?

Consider a cone with a radius of 5 cm and a height of 12 cm. Find the change in the volume of the cone if there is a change in the radius by 0.04 and in the height by 0.02. Also find the relative and percentage change in the 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

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

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Concept explainers

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 drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.

Question

Consider a cone with a radius of 5 cm
and a height of 12 cm. Find the change in
the volume of the cone if there is a
change in the radius by 0.04 and in the
height by 0.02. Also find the relative and
percentage change in the volume?

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