The rate at which the height of the water in this cylindrical tank is increasing is 26.18 m/mn.
<h3>How to calculate the volume of a cylinder?</h3>
Mathematically, the volume of a cylindrical tank can be calculated by using this formula:
V = πr²h
Where:
Differentiating with respect to h, we have:
dV/dt = πr²(dh/dt)
3 = 3.142 × 5² × dh/dt
3 = 78.55dh/dt
dh/dt = 78.55/3
dh/dt = 26.18 m/mn.
Read more on cylinder height here: brainly.com/question/24244317
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Down the side of the barn roof
Answer:
100N
Explanation:
m= 5kg
a= 20 m/s^2
F= ma = 5kg x 20 m/s^2 = 100kg m/s^2 = 100N
Change your prediction & review the details you have now & make a new prediction
Answer:
Volume = 480 cubic inches
Explanation:
We have the following relationships to work with
width w = h -3
length l = h + 4
area of base of prism a = l x w = 60 (1)
area of base in terms of h = (h-3)(h+4) =h² -3h + 4h -12 (2)
Setting (1) = (2) gives
h² + h -12 =60
h² + h -72 = 0
Factoring the LHS we get
(h+9)(h-8) = 0
The solutions for h are
h + 9 = 0 ==> h = -9
h - 8 = 0 ==> h = 8
Since h cannot be negative, h = 8 inches
Volume = base area x h = 60 x 8 = 480 cubic inches
<u>Note</u>
We do not have to calculate length and width separately, but if so,
w = 8 -3 = 5
l = 8 + 4 = 12
