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Sergeu [11.5K]
3 years ago
9

g A cylindrical tank with radius 7 m is being filled with water at a rate of 6 mଷ/min. How fast is the height of the water incre

asing? (Recall: V = πrଶh)
Mathematics
1 answer:
RoseWind [281]3 years ago
8 0

Answer:

  6/(49π) ≈ 0.03898 m/min

Step-by-step explanation:

  V = πr²h . . . . formula for the volume of a cylinder

  dV/dt = πr²·dh/dt . . . . differentiate to find rate of change

Solving for dh/dt and filling in the numbers, we have ...

  dh/dt = (dV/dt)/(πr²) = (6 m³/min)/(π(7 m)²) = 6/(49π) m/min

  dh/dt ≈ 0.03898 m/min

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3 years ago
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Triangle ABC is transformed to obtain triangle A′B′C′:
Lisa [10]

Answer:

Option C is right.

Step-by-step explanation:

Given is a graph with two triangles marked on it.

Triangle ABC is in the I quadrant with vertices (2,2) (2,10) and (8,12)

Triange A'B'C' is in the III quadrant with vertices (-1,-1), (-1,-5) and (-4,-6)

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8 0
3 years ago
Expand the binomial (2x+5)^5
Whitepunk [10]
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3 0
3 years ago
Identify the domain of the graph given. *Don't forget the parenthesis or brackets*​
anzhelika [568]

Answer:

(-4,3)

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5 0
3 years ago
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