Answered: The side of a cube decreases at a rate…

The side of a cube decreases at a rate of 8 m/sec. Find the rate at which the volume changes, when the side is 6 m. -864 m /sec О 1152 т/sec О-288 т/sec O 576 m'/sec

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter62: Volumes Of Prisms And Cylinders

Section: Chapter Questions

Problem 1A: Find the volume of a steel shaft that is 18.64 cm long and has a radius of 1.75 cm. Round your...

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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

The side of a cube decreases at a rate of 8 m/sec. Find the rate at
which the volume changes, when the side is 6 m.
864 m²/sec
O 1152 m'/ sec
288 m² /sec
О 576 т /8ес
864 m'/sec

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