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jaxheisjax532
08.10.2019 •
Mathematics
Atemperature of 221/3 degrees below zero
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Ответ:
i remember don't kmow
Ответ:
6.82![mt^3/min](/tpl/images/0319/2626/416c0.png)
Step-by-step explanation:
By congruence of triangles, the radius r of the cone base when its height is 1 meter satisfies the relation
r/1 = 2.5/6
(See picture attached)
So, r = 0.4166 meters when the water is 1 meter high.
The volume of a cone with radius of the base = R is given by
So, the volume of water when it is 1 meter high is
One minute later, the height of the water is 1 meter + 30 centimeters = 1.30 mt
The radius now satisfies
r/1.3 = 2.5/6
and now the radius of the base is
r = 0.5416 mt
and the new volume of water is![0.3071\;mt^3](/tpl/images/0319/2626/47068.png)
So, the water is raising at a speed of
0.3071-0.1871 = 0.12![mt^3/min](/tpl/images/0319/2626/416c0.png)
This speed equals the difference between the water being pumped and the water leaking,
So,
0.12 = Speed of water being pumped -6.8
and
Speed of water being pumped = 6.8+0.12 = 6.82![mt^3/min](/tpl/images/0319/2626/416c0.png)