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Anestetic [448]
2 years ago
5

Suppose that water is pouring into a swimming pool in the shape of a right circular cylinder at a constant rate of 8 cubic feet

per minute. If the pool has radius 6 feet and height 11 feet, what is the rate of change of the height of the water in the pool when the depth of the water in the pool is 8 feet?
Mathematics
1 answer:
adell [148]2 years ago
7 0

Answer:

dh/dt = 0,07 ft/min

Step-by-step explanation:

The swimming pool has the shape of right circular cylinder, therefore its volume is

V(c) = π*x²*h

Where x is the radius of the base and h the height

We take differentiation on both sides of the equation to get:

dV/dt  =  π*x²*dh/dt

The rate of change in height of water in the pool, is independent of the height of the water, since the pool is a right crcular cylinder, and dV/dt is constant at 8 ft³/min.

Then:

8  = π*x²*dh/dt

dh/dt = 8 /  π*x²

dh/dt = 8/113,04

dh/dt = 0,07 ft/min

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People at the state fair were surveyed about which type of
Ronch [10]

Answer:

Step-by-step explanation:

You would require the table with the number of males and females who prefer either pink or yellow lemonade at the state fair.

                      Pink Lemonade         Yellow Lemonade       TOTAL

 

Male                    156                                104                          260

 

Female                  72                               48                          120

 

TOTAL                 228                               152                         380

P(pink lemonade | female) = 72 / (48 + 72) = 72 / 120 = 0.6

P(pink lemonade) = (156 + 72) / (156 + 72 + 104 + 48) = 228 / 380 = 0.6

Therefore, The event "prefers pink lemonade" and "female" are independent because P(pink lemonade | female) = P(pink lemonade) = 0.6

6 0
2 years ago
Which of the following assessment types has the greatest effect on your overall grade?
frutty [35]
I’m pretty sure the answer is test
3 0
2 years ago
The smallest number by which 28 should be multiplied so as to get a perfect square is​
dsp73

Answer:

7.

Step-by-step explanation:

28 = 2^2 * 7.

To multiply 28 to get a perfect square, we can multiply it by 7 to get 2^2 * 7^2, which is 14 squared.

4 0
2 years ago
The sum of the squares of two consecutive even integers is 884. find the integers
andriy [413]
2x + 2x +2 are the integers
4x^2 + 4x^2 +8x +4 =884 (The sum of the integers squared)
8 x^2 +8x -880 = 0

x = 10
Therefore, the integers are:
20 and 22




3 0
2 years ago
jeffrey purchased a card for $180 that gives him 20 visits to a new gym and includes a one-time fee for unlimited use of the sau
yawa3891 [41]

There is many ways to do this but i did it this way.

180-123.75= 56.25

56.25/5=11.25

=11.25

7 0
2 years ago
Read 2 more answers
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