Answer:
The volume of the cylinder is <em>approximately</em> 1570.8 cm³.
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Geometry</u>
Volume Formula [Cylinder]:

- <em>r</em> is radius
- <em>h</em> is height
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify given variables</em>.
<em>h</em> = 5 cm
<em>r</em> = 10 cm
<u>Step 2: Find Volume</u>
- [Volume Formula - Cylinder] <em>Substitute</em> in variables:

- [Order of Operations] Evaluate:

- Approximate:

∴ the volume of a cylinder whose height is 5 cm and radius is 10 cm is <em>approximately</em> 1570.8 cm³.
___
Learn more about Geometry: brainly.com/question/9774838
___
Topic: Geometry
Answer: The first and second options are random samples.
First, assign numbers and drawing the number from a bowl would be a great way to get a random sample. Everyone has the same chance of being selected.
Second, using an alphabetical order is just like the first choice. The chances are the same for everyone.
However, in the third choice, you won't get a random sample. You will get an old and young group. Not a random group of the population.
Simplification of (-2/5) divided by (8/9) times (2/9) divided by (-1/3) is 0.3
<em><u>Solution:</u></em>
Given that,
Simplify (-2/5) divided by (8/9) times (2/9) divided by (-1/3)
Here "times" represent multiplication
<em><u>The above sentence can be written mathematically as:</u></em>

Convert the problem to multiplication by changing the division sign to multiplication. When we change division sign to multiplication, the fraction becomes reciprocal

Cancelling the common terms in numerator and denominator,

Multiplying terms in numerator and denominator,

Negative sign in numerator and denominator cancels each other

Reducing to lowest terms we get,

In decimal form we get,

Thus solution to given expression is 0.3
75/200 movie goers watching 3D were students. 37.5% were students
50/100 movie goers watching 2D were students. 50% were students.