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katen-ka-za [31]
3 years ago
11

A deep-cone clarifier tank is being built. The radius is 5 feet, the height of the cylinder is 8 feet and the height of the cone

is 6 feet. Assuming there is no sheet metal overlap, how much sheet metal is needed to build this tank including the top? Must show work
Mathematics
1 answer:
dsp733 years ago
5 0

Answer:

Is needed 452.32\ ft^{2} of sheet metal to build this tank

Step-by-step explanation:

we know that

To find how much sheet metal is needed to build this tank including the top, calculate the lateral area of the cone plus the lateral area of the cylinder plus the area of the top of the cylinder

A=\pi rl+2\pi rh1+\pi r^{2}

we have

r=5\ ft

h1=8\ ft ----> height of the cylinder

h2=6\ ft ----> height of the cone

<em>Find the slant height of the cone l</em>

Applying Pythagoras Theorem

l^{2}=r^{2}+h2^{2}

substitute

l^{2}=5^{2}+6^{2}

l^{2}=61

l=\sqrt{61}\ ft

assume

\pi =3.14

A=(3.14)(5)(\sqrt{61})+2(3.14)(5)(8)+(3.14)(5)^{2}

A=122.62+251.2+78.5=452.32\ ft^{2}

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Answer: Option 'D' is correct.

Step-by-step explanation:

Since we have given that

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Number of people living in per square mile = 170

So, we need to find the area of the state :

So, Area of the state is given by

\frac{\text{Total Population}}{\text{ Number of people per square mile }}\\\\=\frac{10100000}{170}\\\\=59411.76\\\\=59400(\text{ nearest hundred }mi^2)

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3 years ago
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Find the equation of the tangent line to the graph of f(a) = sec(a) at the point (0, 1).
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Let the required equation be y = mx + c; where y = 1, m = f'(0), x = 0
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5 0
3 years ago
URGENT
Zepler [3.9K]

Answer: The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Step-by-step explanation:

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Replacing with the values given and solving for V (volume)

V = 4/3 (3.14) 5³ = 4/3 (3.14) 125= 523.33 cubic centimeters

The volume of a sphere with a radius of 5 cm is approximately 523.33 cm3.

Feel free to ask for more if needed or if you did not understand something.

4 0
2 years ago
The admission fee at a zoo is $2 for children and $4 for adults. If 1800 people enter the zoo and $6000 is collected, how many a
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Answer:

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y------> the number of adults

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x+y=1800 -------> equation A

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Given the regular polygon, what is the measure of each numbered angle?​​
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Answer:

Answer A

Step-by-step explanation:

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