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lawyer [7]
2 years ago
14

A cylindrical container is packaged inside a prism-shaped box. the box has a volume of 96 cubic units. if the container has a di

ameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? round the answer to two decimal places. a. 20.60 cubic units b. 37.77 cubic units c. 51.27 cubic units d. 75.40 cubic units
Mathematics
1 answer:
tiny-mole [99]2 years ago
7 0

Volume is a three-dimensional scalar quantity. The volume of the empty space is 20.602 units³.

<h3>What is volume?</h3>

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given the volume of the prism, the box is 96 units³ and the diameter of the cylindrical container is 4 units(Radius=2 units), while the height of the cylinder is 6 units. Therefore, The volume of the empty space is,

The volume of the empty space

= Volume of prism - Volume of the cylindrical container

= 96 units³ - (π×2²×6) units³

= 96 units³ - 75.398 units³

= 20.602 units³

Hence, the volume of the empty space is 20.602 units³.

Learn more about Volume:

brainly.com/question/13338592

#SPJ1

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explanation:

6 0
3 years ago
The admision fee at a basket ball game is 350$ for children and 750$ for adults. On a certain night,1500 people enter the basket
Hoochie [10]

<u>Note: The only way to solve this problem is by adjusting the fees to $3.50 and $7.50.</u>

Answer:

<em>1300 children attended the basketball game</em>

Step-by-step explanation:

System of Equations

Let's call:

x = number of children attending the basketball game

y = number of adults attending the basketball game

On a certain night, 1500 people enter the game, thus:

x + y = 1500           [1]

Since each admission fee for children cost $3.50 and $7.50 for adults and it was collected $6050, thus:

3.50x + 7.50y = 6050            [2]

From [1]:

y = 1500 - x

Substituting in [2]:

3.50x + 7.50(1500 - x) = 6050

Operating:

3.50x +  11250 - 7.50 = 6050

-4x = 6050 - 11250

Solving:

x = 1300

1300 children attended the basketball game

5 0
3 years ago
¡¡¡40 POINTS!!!HELP ASAP!!
Nataly_w [17]
Hi there!

To start, we can use the two points to find the slope using the formula y2-y1/x2-x1. Just sub in the points and solve!

-0.5-0.5/3-(-3)
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Sub that into the formula y-mx+b for m, and use one of the points for x and y - solve for b and you get your equation. 

y=mx+b
y=-1/6x+b
0.5=-1/6*-3+b
0.5=-0.5+b
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Therefore your equation is y=-1/6x+1

Hope this helps!



8 0
3 years ago
Find the rate of change between (-3,6) (0,-3)
marin [14]
<h3>The rate of change between (-3,6) (0,-3) is -3</h3>

<em><u>Solution:</u></em>

Given that,

We have to find the rate of change between (-3,6) (0,-3)

<em><u>The rate of change is given as:</u></em>

Rate\ of\ change = \frac{y_2-y_1}{x_2-x_1}

From given,

(x_1, y_1) = (-3, 6)\\\\(x_2, y_2) = (0, -3)

<em><u>Substituting the values we get,</u></em>

Rate\ of\ change = \frac{-3-6}{0+3}\\\\Rate\ of\ change = \frac{-9}{3}\\\\Rate\ of\ change = -3

Thus rate of change is -3

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