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bedsaul12345
14.01.2021 •
Mathematics
1. Sand falling from a chute forms a conical pile whose altitude is always equal to 4/3 the radius of the base. (a) How fast is the volume increasing when the radius of the base is 3 ft and is increasing at a rate of 3 in/min
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Ответ:
The volume is increasing at a rate of 16286 in³/min.
Step-by-step explanation:
a) The volume of a cone is given by:
Where:
r: is the radius
h: is the height
The rate of change of the volume can be calculated by using the chain rule:
Since h = 4/3 r we have:
With:
And by entering the above values into equation (1) we have:
Therefore, the volume is increasing at a rate of 16286 in³/min.
I hope it helps you!
Ответ:
16 ounces in a pound, so (for E)
(2100)+(1600/16) = 2200 pounds