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Ugo [173]
3 years ago
10

There is a cylinder with a height of 8 units and a volume of 72 cubic units. What is the radius of the cylinder?

Mathematics
1 answer:
svp [43]3 years ago
7 0

Answer:

Radius of the cylinder = 1.69 units

Step-by-step explanation:

Volume of a cylinder is given by the expression,

Volume = Area of the circular base × Height of the cylinder

Area of the circular base = πr²

Here, r = Radius of the circular base

Volume of the cylinder = πr²h

By substituting the values given in the question,

72 = π(r)²8

r² = \frac{9}{\pi }

r² = 2.865

r = 1.692

r = 1.69 units

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nikitadnepr [17]
Hi there! 

Lets dive into the problem, starting with the equation for volume; length x width x height.

If it's 8 x 12 inches, That means the height is 8 and the length is 12. The side, or width, would be x.

The equation should be 8 times 12 times x, or (8)(12)(x).
8 0
3 years ago
Given H(6,7) and I (-7,-6) if point G lies 1/2 of the way long line segment HI, Santiago argues that point G is located at the o
amid [387]
A point that is half way of line segment is the midpoint

Let (6, 7) be (x₁, y₁) and (-7, -6) be (x₂, y₂)

Mid point of HI = (\frac{x_1+x_2}{2},  \frac{y_1+y_2}{2})
Mid point of HI = (\frac{6+-7}{2},  \frac{7+-6}{0})
Mid point of HI = (- \frac{1}{2} ,  \frac{1}{2})

Santiago's statement is not correct
4 0
3 years ago
What are the exact solutions of x^2 − 3x − 7 = 0?
bulgar [2K]

<u>Given</u>:

The given equation is x^{2} -3x-7=0

We need to determine the exact solutions of the equation.

<u>Exact solution:</u>

The exact solution of the equation can be determined by solving the equation using quadratic formula,

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

From the equation the values are a = 1, b = -3 and c = -7

Thus, substituting these values in the equation, we get;

x=\frac{-(-3) \pm \sqrt{3^2-4(1)(-7)}}{2(1)}

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Hence, Option A is the correct answer.

6 0
3 years ago
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Serhud [2]

Answer: The median is 5.

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5 0
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Which item is NOT a savings instrument?
quester [9]

Answer with explanation:

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⇒A Saving Instrument.

B. C D

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Option B: →C D is not a Saving Instrument.

6 0
3 years ago
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