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malfutka [58]
3 years ago
6

Item 16

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
5 0
First answer is right
Base is 8
Height is 9
9x8=72
72/2=36

36 units ^2
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A farmer wants to build a new grain silo. The shape of the silo is to be a cylinder with a hemisphere on top, where the radius o
Aleks04 [339]

Answer:

  about 10.24 ft

Step-by-step explanation:

The formula for the volume of a cylinder is ...

  V = πr²h . . . . where h is the height and r is the radius

The formula for the volume of a sphere is ...

  V = (4/3)πr³ = πr²·(4/3r) . . . . equivalent to a cylinder of height 4/3r

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We have a cylinder of height 3d = 3(2r) = 6r. It has half a sphere on top, so the equivalent height of that is (1/2)·(4/3r) = 2/3r.

Then our total volume is equivalent to a cylinder with radius r and height (6 2/3)r = (20/3)r. That is, ...

  22,500 ft³ = πr²·(20/3)r = (20π/3)r³

Multiplying by the inverse of the coefficient of r³, then taking the cube root, we have ...

  r = ∛(22,500·3/(20π)) ft ≈ 10.24 ft

The radius of the silo should be about 10.24 feet.

4 0
3 years ago
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Twice the diffrence of a number and 9 is equal to three times the sum of the number and 5. Find the number
Elan Coil [88]
2(n-9) = 3(n + 5)
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5 0
3 years ago
The supplement of a 60∘ angle is an angle that measures how many degrees?
MatroZZZ [7]

Answer:

120 Degrees

Step-by-step explanation:

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4 0
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777dan777 [17]

Answer:

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Step-by-step explanation:

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7 0
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Simora [160]

Answer:

It seems like it is 110 degrees.

Step-by-step explanation:

6 0
3 years ago
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