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Alexxandr [17]
2 years ago
8

Find the exact volume of this cylinder in terms of π. refer to your staar 8th grade math reference sheet for the appropriate for

mula.
SAT
1 answer:
lakkis [162]2 years ago
5 0

The exact volume of this cylinder is equal to 225π cubic centimeters.

<h3>How to calculate the volume of a cylinder.</h3>

Mathematically, the volume of a cylinder is given by this formula:

V = \pi r^2h

<u>Where:</u>

  • h is the height.
  • r is the radius.

<u>Given the following data:</u>

Height of cylinder = 9 cm.

Diameter of cylinder = 10 cm.

Radius = \frac{diameter}{2} =\frac{10}{2} =5\;cm

Substituting the given parameters into the formula, we have;

V = \pi \times 5^2 \times 9\\\\V = \pi \times 225

Volume = 225\;cm^3

Read more on volume of a cylinder here: brainly.com/question/21367171

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Write an expression for the area of the shaded region in its simplest form.
MatroZZZ [7]

Answer:

area = Iw

Explanation:

area = lw

where

l = length

w = width

Therefore,

The area of the shaded region  = area of the big rectangle - area of the small rectangle

Therefore,

area of the big rectangle = (x+10)(2x+5) = 2x² + 5x + 20x + 50 = 2x² + 25x + 50

area of the small rectangle = (x+1)(x+1) = x² + x + x + 1 = x² + 2x + 1

area of the shaded region = 2x² + 25x + 50 - ( x² + 2x + 1)

area of the shaded region =  2x² + 25x + 50 - x² - 2x - 1

area of the shaded region = x² - 23x - 49

6 0
2 years ago
Of the $10$ kids in a chess club, $5$ are left-handed and $5$ are right-handed. the club holds a round-robin tournament in which
Nataliya [291]

The total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 is the fraction of all games at the tournament Anita plays.

<h3>How to carry out Permutation and Combination?</h3>

We are given that there are 5 girls and 5 boys in a chess club.

Thus, total games that girls play against a boy = 5×5 = 25

The number of games a girl play against another is the total number of games = 10

The number of games that are boy vs boy = 10

The number of games Boy vs Boy + Girl vs Girl + Boy vs Girl = 10 + 10 + 25 =  45

Fraction of the games that are boy vs boy = 10/45 = 2/9

If Anita is one of the club members, then Anita will have to play against 9 people at the tournament.

Total number of games = 45

Then the fraction of all games at the tournament Anita play the game.= 9/45 ⇒ 1/5

Thus, the total number of games a girl play against a boy is 25, the number of games a girl plays against a boy is 10, the fraction of the games are boy-versus-boy is 2/9, and 1/5 fraction of all games at the tournament Anita plays.

Read more about Permutation and Combination at; brainly.com/question/4658834

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