A fluid is being pumped from a cylinder into a rectangular prism with a square base. The base has side lengths of 10 centimeters. The cylinder has a diameter of 8 centimeters and the height of the fluid is decreasing from the cylinder 6 centimeters per minute. The pump shuts off once the fluid level hits 15 centimeters, assuming the rate stays constant at this point, how long will it take before the pump shuts off?
A fluid is being pumped from a cylinder into a rectangular prism with a square base. The base has side lengths of 10 centimeters. The cylinder has a diameter of 8 centimeters and the height of the fluid is decreasing from the cylinder 6 centimeters per minute. The pump shuts off once the fluid level hits 15 centimeters, assuming the rate stays constant at this point, how long will it take before the pump shuts off?
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter6: Vector Spaces
Section6.7: Applications
Problem 18EQ
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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
Transcribed Image Text:A fluid is being pumped from a cylinder into a rectangular prism with a square base. The base has side
lengths of 10 centimeters. The cylinder has a diameter of 8 centimeters and the height of the fluid is
decreasing from the cylinder 6 centimeters per minute. The pump shuts off once the fluid level hits 15
centimeters, assuming the rate stays constant at this point, how long will it take before the pump
shuts off?
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