tessthetoast
02.11.2019 •
Mathematics
An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. the pyramid, at the top, has the shape of a square with sides of length 7 cm, and the height is 10 cm. find the rate at which the water level is rising when the water level is 4 cm.
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Ответ:
Rate of change in height of the water level is 2.91 cm per second.
Step-by-step explanation:
Height of the inverted pyramid = 10 cm
Length of the square base = 7 cm
If water is filled up to the level of h cm then the volume of water up to height h will be
V =
V =
It is given that rate of water is filling with 70 cubic centimeters per second.
From two similar triangles in the figure attached,
By replacing the value of h,
V =
V =
V =
Now we integrate the equation with respect to time 't'
70 =
For h = 7 cm
Therefore, rate of change in height of the water level is 2.91 cm per second.
Ответ:
The correct is answer is 9.
You have to do half of 6 (3) and then square it that equals 9
So it should be x^2 + 6x +9
Have a nice day