at what rate is water pouring into a rectangular bathtub with base $23sq ft if the water level rises at a rate of $1.4ft/min?



Answer :

At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min

What is Volume?

Volume: Every three-dimensional object occupies some space. This space is measured in terms of its volume. Volume is defined as the space occupied within the boundaries of an object in three-dimensional space. It is also known as the capacity of the object.

at what rate is water pouring into a rectangular bathtub with base 23sq ft

lb=23

volume of rectangle, v=lbh

                                   v=23h

differentiate with respect to time

dv/dt=23 dh/dt.....equation(1)

the water level rises at a rate of 1.4ft/min

dh/dt=1.4ft/min

substitute in equation(1)

dv/dt=23(1.4)

dv/dt=32.2

At 32.2 rate is water pouring into a rectangular bathtub with base 23sq ft if the water level rises at a rate of 1.4ft/min

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