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2 years ago

5

How do you find the volume of a cylinder, cone or sphere

1 answer:

nata0808 [166]2 years ago

8 0

Answer:

Step-by-step explanation:

Cone. The volume of a cone is linked to the volume of a cylinder. A cone is one third of the volume of a cylinder. ...

Sphere. The volume of a sphere is ⁴/₃ × π × r³. ...

Cylinder. The volume of a cylinder is π × r² × l (r is the radius of the circle and l is the length of the cylinder).

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VMariaS [17]

Using the concept of probability and the arrangements formula, there is a

0.002 = 0.2% probability that the first 8 people in line are teachers.

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A probability is the <u>number of desired outcomes divided by the number of total outcomes.</u>
The order in which they are positioned is important, and all people will be positioned, and thus, the arrangements formula is used to find the number of outcomes.

The number of possible arrangements from a set of n elements is given by:

$A_n = n!$

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The desired outcomes are:

First 8 people are teachers, in <u>8! possible ways.</u>
Last 4 are students, in <u>4! possible ways.</u>

Thus, $D = 8! \times 4!$

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For the total outcomes, <u>number of arrangements of 12 people</u>, thus:

$T = 12!$

The probability is:

$p = \frac{D}{T} = \frac{8! \times 4!}{12!} = 0.002$

0.002 = 0.2% probability that the first 8 people in line are teachers.

A similar problem is given at brainly.com/question/24650047

7 0

3 years ago

The diagram shows a sector of a circle radius 10cm

Yuki888 [10]

Answer:

$\text{Perimeter of sector = 43.6 (Rounded to the nearest tenth.)}$

Step-by-step explanation:

$\text{Perimeter of the sector = Radius + arc length + radius}$

$\text{Radius = 10 cm}$

$\text{Perimeter of the sector = 10 + arc length + 10 }$

$\text{Perimeter of the sector = 20 + arc length }$

$\text{arc length = (sector angle/ 360 ) * perimeter of the circle}$

$\text{Perimeter of a circle }=2\pi r$

$\text{sector angle} = 135$

$\text{arc length} = (135/ 360 ) * 2\pi (10)$

$= (3/8) 20\pi$

$= 15\pi /2$

$\text{Using }\pi =3.14$

$= 15 * 3.14 /2$

$= 23.55$

$\text{Perimeter of the sector = 20 + 23.55}$

$= 43.55$

$= 43.6 cm$

$\text{perimeter of the sector = 43.6 cm }$

8 0

2 years ago

If the sin 90° = 1, then the cos 0° = _____. (1 point)

Cloud [144]

<span>sin 90° = 1
</span>
cos 0° = 1

There's a simple formula : <em>sin θ = cos (90°- θ)</em> or <em>cos θ = sin (90°- θ) </em>

So : cos 0° = sin (90° - 0°) = sin 90° = 1

7 0

3 years ago

Read 2 more answers

Anyone know how to do this?

IrinaVladis [17]

H(x) = x - 5

However, it had a domain of all real numbers such that x does not equal 3, since that would cause you to divide by 0.

7 0

2 years ago

Read 2 more answers

Identify the property in this equation: (7th Grade Math) 3 + [7 + (–4)] = (3 + 7) + (– 4)

Gre4nikov [31]

Answer:

Associative Property

Step-by-step explanation:

The brackets moved, so it would be associative

3 0

3 years ago