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Anna007 [38]
3 years ago
5

The volume of a cylinder is 4,019.2 cubic units. If the radius is 8 units, how tall is the cylinder?

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0
We will be using the formula in looking for the volume of the cylinder which is

V = πr²h

where:

r = radius
h = height
V = volume

but in the problem V and r have values already:
r = 8
V = 4019.2

plug this in the volume equation:

V = πr²h
= 4019.2 = π* 8² * h
= 4019.2 = 64πh
= 4019.2 / 64π = h

so the answer is: h = 4019.2 /201.06193
= 19.99 is the height of the cylinder.


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Answer:

A ≈ 269.81 cm²

Step-by-step explanation:

This shape is a hexagon (it has 6 sides) so let's use the formula for the area of a hexagon.

A = \frac{3\sqrt{3} }{2} s^{2}

Where s is the length of the sides

Substitute:

A = \frac{3\sqrt{3} }{2} s^{2}

A = \frac{3\sqrt{3} }{2} 10^{2}

Solve:

A = \frac{3\sqrt{3} }{2} 10^{2}

A = \frac{3\sqrt{3} }{2} 100

Multiply the numerator:

A = \frac{3\sqrt{3} }{2} 100

A ≈ \frac{5.12 }{2} 100

(The numerator reflects a rounded number, but the actual calculations are exact)

Divide the fraction:

A ≈ \frac{5.12 }{2} 100

A ≈ 2.6(100)

Multiply:

A ≈ 2.6(100)

A ≈ 269.81 cm²

Therefore, the area is approximately 269.82 cubic centimeters.

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Step-by-step explanation:

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2 years ago
Could you help me, pls? :c​
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Answer:

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6 0
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Answer:

\large\boxed{-\dfrac{5}{8}+\dfrac{1}{4}=-\dfrac{3}{8}}

Step-by-step explanation:

-\dfrac{5}{8}+\dfrac{1}{4}=\dfrac{1}{4}+\left(-\dfrac{5}{8}\right)=\dfrac{1}{4}-\dfrac{5}{8}\\\\\text{find LCD:}\\\\8=2\cdot4,\ \text{therefore. LCD(4, 8) = 8}\\\\\dfrac{1}{4}=\dfrac{1\cdot2}{4\cdot2}=\dfrac{2}{8}\\\\\text{continuing}\\\\=\dfrac{2}{8}-\dfrac{5}{8}=\dfrac{2-5}{8}=-\dfrac{3}{8}

4 0
3 years ago
According to Masterfoods, the company that manufactures M&amp;M’s, 12% of peanut M&amp;M’s are brown, 15% are yellow, 12% are re
mr Goodwill [35]

Answer:

See explanation.

Step-by-step explanation:

We are looking at a geometric distribution.

The probability of selecting a brown peanut is .12 = p

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The probability mass function is p(y) = (.88)^(y-1) * (.12)

a) p(7) = (.88)^6 * .12 = .0557

b) p(7 <= y <= 8) = p(7) + p(8)

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c) p(y <= 7) = p(0) + p(1) + ... + p(7)

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d) The expect value is 1/p. So, 1/(.12) = 8.33 M&M's

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3 years ago
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