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Sliva [168]
3 years ago
12

The diagram shows a solid which is half of a cone. Calculate the total surface area of the solid.

Mathematics
1 answer:
Vilka [71]3 years ago
5 0

Answer:

<h2>100πcm².</h2><h2>None of the options is correct</h2>

Step-by-step explanation:

Total surface area of a cone S = \pi r^{2}+\pi  rl\\

Since the diagram is half of a cone, its surface area will be S = \frac{\pi r^{2} +\pi rl}{2}

r = radius of the cone

l = slant height

From the diagram diameter of the cone = 16m;

r = 16/2 = 8m

l = 17m

S = \frac{\pi (8)^{2} +\pi (8)(17)}{2}\\S = \frac{64\pi + 136\pi }{2} \\S = 32\pi + 68\pi \\S = 100\pi cm^{2}

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tank contains 250 liters of fluid in which 20 grams of salt is dissolved. Pure water is then pumped into the tank at a rate of 5
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Solution :

Given data :

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r_{in} = 5 L/min

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$v_0$ = 250 L

A_0 = 20 g

∴ r_{net} = r_{in}- r_{out}

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Now, \frac{dA}{dt}=(r_{in} \times c_{in}) - (r_{out} \times c_{out})

$\frac{dA}{dt} = 5-5\left(\frac{A}{250}\right)$

\frac{dA}{dt}+5 \left(\frac{A}{250}\right) = 5

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Integrating factor = exp(5 t/250)

Therefore,

A \times \exp (5t \ /250) = \text{integral of}\ 5 \times \exp (5t / 250) + C

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A(t) = 250-230 \exp(-5t/250)

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These values can be represented as:

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