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velikii [3]
2 years ago
8

The volume for a cylinder is given by the formula V = 72, where r is the radius of the cylinder and h is the height of the cylin

der.
If the volume of a cylinder with a height of 3 centimeters is 363 7 cubic centimeters, then what is the radius of the cylinder?
A. 60.5 cm
B.
11 cm
C.
121 cm
D. 33 cm

Mathematics
1 answer:
Elza [17]2 years ago
7 0
I think the answer is B
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The quadrilateral ABCD has area of 58 in2 and diagonal AC = 14.5 in. Find the length of diagonal BD if AC ⊥ BD.
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Answer:

(look in the the Step by step)

Step-by-step explanation:

When the diagonals of a quadrilateral are perpendicular, the area of that quadrilateral is half the product of their lengths.

.. A = (1/2)*d₁*d₂

Substituting the given information, this becomes

.. 58 in² = (1/2)*(14.5 in)*d₂

.. 2*58/14.5 in = d₂ = 8 in

The length of diagonal BD is 8 in.

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8/7

Step-by-step explanation:

8/7 because the numerator is greater than the denominator.

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Approximate pi plus the square root of 70 to the nearest hundredth.
stich3 [128]

Answer:

  11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

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<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

  π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

  √n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

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For √70, we have 70 = 8² +6   ⇒   a=8, b=6

If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

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This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

  3.1416 +8.3664 = 11.5080 ≈ 11.51

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