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enyata [817]
3 years ago
5

Item 19 A cylindrical container of four rubber balls has a height of 20 centimeters and a diameter of 5 centimeters. Each ball i

n the container has a radius of 2.5 centimeters. Find the amount of space in the container that is not occupied by rubber balls. Round your answer to the nearest whole number.
Mathematics
1 answer:
Lady_Fox [76]3 years ago
7 0
First you need to find the volume of the cylinder. Then find the volume of all 4 rubber balls (spheres). Subtract the cylinder's volume by the spheres' volumes.

Volume of cylinder: πr²h
                                   π2.5²(20) = 392.7 cm³

Volume of sphere: 4/3πr³
                                 4/3π2.5³ = 65.45 cm³

392.7 - 65.45 = 327.25

The amount of space in the container unoccupied by the rubber balls is 327 cm³.
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drek231 [11]

Answer:

The second bubble

Explanation

You need to make your exponents equal the other side so to do this;

Distribute the 3 in the exponent "3(x-2)"

Which is 3x-6

And since multiplying exponents adds them, you need a -6 to make the two equal.

So your exponent should equal -6 to make that statement true

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2 years ago
Cylinder has a height of 15 centimeters and a radius of 10 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer t
tatuchka [14]

Answer: 4712.39 centimeters

Step-by-step explanation: Using the volume of a cylinder calculator, I got the answer of 4712.3889803847 centimeters, but rounded it to the nearest hundreth. Hope this helps!

3 0
3 years ago
I am confused please help
Otrada [13]

Answer:

3 tiles will not fit together.

Step-by-step explanation:

Measure of an Interior angle of a polygon = \frac{(n-2)\times 180}{n}

Here, n = number of sides of the polygon

Therefore, measure of the interior angles of a regular hexagon,

A = \frac{(6-2)\times 180}{6}

A = 120°

Similarly, interior angle of the regular pentagon,

B = \frac{(5-2)\times 180}{5}

B = 108°

Now m∠A + m∠B + m∠C = 360°

m∠C = 360° - (120° + 108°)

        = 132°

To fit the given three tiles perfectly, interior angle (∠D) of the third Octagonal tile should be 132°.

D = \frac{(8-2)\times 180}{8}

D = 135°

m∠C ≠ m∠D

Therefore, 3 tiles will not fit together.

8 0
3 years ago
Identify the data set that could be quadratic. HELP ASAP!!
Ne4ueva [31]

Answer:

Option B can be quadratic.

Step-by-step explanation:

Take a look at the data.

A quadratic equation is of the form ,

y = ax^{2} +bx + c,

where, a,b,c are constants.

<em>To find an unknown equation of 3 variables,</em>

<em>we need 3 points lying on the equation.</em>

here they have given, 5 points, meaning all should lie on the curve.

<em>For first option,</em> inserting first 3 points to find equation, we get equation as,

y = x^{2} -4x +11, but the rest points don't satisfy the curve.

So first option is not quadratic.

Similarly, it can be shown that option C and D are also not quadratic.

While, in option B, it is clear that for every y, x is y squared,

x = y^{2}, thus quadratic in nature.

6 0
3 years ago
an entertainment firm offers several DJ choices and light show that range in price based on the rental time period. the DJ's cos
Mnenie [13.5K]

Answer:

219 + 159 <= x <= 369 + 309

378 <= x <= 678

Step-by-step explanation:

4 0
2 years ago
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