Answer:
volume = 240b in³
Step-by-step explanation:
Width is b in
Volume = length * height * width
then:
volume = 16in * 15in * bin
volume = 240b in³
Since
(density = mass/volume), we can get the mass/weight of the liquid by integrating the density
over the interior of the tank. This is done with the integral

which is more readily computed in cylindrical coordinates as

Answer:
pi will never end just trust me :p
Step-by-step explanation:
The airplane reaches its maximum height of 81 feet in 12 seconds.
<h3>Behavior of curves</h3>
If y =
, it means that the second derivate is 2 which is positive, then there is a minimum turning point.
If y = -
, it means that the second derivative will be -2 which is negative, then there is a maximum turning point.
Analysis:
h(t) = -
+ 81
By expanding,
h(t) = -(
- 24t + 144) +81
h(t) = -
+ 24t - 144 + 81
h(t) = -
+ 24t - 63
at turning point d/dt(h(t)) = 0
d/dt (h(t)) = -2t +24
-2t +24 = 0
if we differentiate again, second derivative is -2 which is negative, so it is a maximum point.
2t = 24
t = 12 seconds
h(t) at t = 12
h(t) =
+ 24(12) - 63 = 81 feet
In conclusion, the maximum height of the airplane after 12 seconds is 81 feet.
Learn more about minimum and maximum points: brainly.com/question/14993153
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Answer:
Circumference, C = 81.68 units
Step-by-step explanation:
Given that,
The radius of the circle, r = 13 units
We need to find the circumference of the circle. The circumference of a circle is the sum of the outer boundary. For a circle, it is given by :


C = 81.68 units
So, the circumference of the circle is 81.68 units. Hence, this is the required solution.