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vlabodo [156]
3 years ago
13

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

f the hemisphere is to be the same length as the radius of the base of the cylinder. The farmer would like the height of the silo’s cylinder portion to be 3 times the diameter of the base of the cylinder. What should the radius of the silo be if the silo is to hold 22,500 cubic feet of grain?
Mathematics
2 answers:
mezya [45]3 years ago
7 0

Answer:

10.24  ft

Step-by-step explanation:

Aleks04 [339]3 years ago
4 0

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

__

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.

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VladimirAG [237]

The recursive formula f(n+1)=f(n)+5 means that the next term in the sequence is 5 more than the previous one.

So, we know that we start from f(0)=3, which means that the next term is

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Similarly,

f(2) = f(1)+5 = 8+5 = 13

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Step-by-step explanation:

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Answer:

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Read 2 more answers
Divide 85 into the ratio of 2:3:5
alukav5142 [94]
The actual amount that needs to be divided = 85
The ratio in which the amount needs to be divided = 2:3:5
Let us assume the common ratio to be = x
Then
2x + 3x + 5x = 85
10x = 85
x = 85/10
  = 8.5
Then
The ratio in which the number 85 will be divided = 2 * 8.5:3 * 8.5:5 * 8.5
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So from the above deduction we can see that the number 85 can be divided in the ratio 17:25.5:42.5
4 0
3 years ago
A number is chosen at random from 1 to 25. Find the probability of selecting an odd number or multiples of 5. *
Ymorist [56]

Answer:

Odd number: 13/25 (52%)

Multiples of 5: 5/25 (20%)

Step-by-step explanation:

There are 13 odd numbers between 1 and 25 so you have a 13/25 chance which is 52% (13/25 = 0.52). There are 5 multiples of 2 between 1 and 25 so you have a 5/25 chance which is 20% (5/25 = 0.2).

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