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Vedmedyk [2.9K]
2 years ago
14

PLEASE HELP!! I WILL MARK THE FIRST CORRECT ANSWER BRAINLIEST!!))What is the volume of this cylinder?

Mathematics
1 answer:
Aleksandr-060686 [28]2 years ago
6 0

Answer:

V = 6079.04 ft³

Step-by-step explanation:

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

Here diameter = 22 , then r = 22 ÷ 2 = 11 and h = 16 , then

V = 3.14 × 11² × 16

   = 3.14 × 121 × 16

  ≈ 6079.04 ft³ ( to the nearest hundredth )

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A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled
n200080 [17]

Answer:

24000 pieces.      

Step-by-step explanation:

Given:

Side lengths of cube = \frac{1}{4} \ foot

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

Volume\ of\ cube =a^{3}

                          =\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot

                                   

Length = 8 foot, Breadth = 6\frac{1}{4} =\frac{25}{4} \ foot, Height =7\frac{1}{2} =\frac{15}{2} \ foot

Volume\ of\ rectangular\ prism =length\times breadth\times height

                                                =8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = \frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.                                

7 0
3 years ago
George has a triangle-shaped garden in his backyard. He drew a model of this garden on a coordinate grid with vertices A(4, 2),
GarryVolchara [31]

The coordinates of triangle A′B′C′ is  A′(2, 1), B′(1, 2), C′(3, 2)

On plotting the coordinates on the graph, it is found :

Option A is the coordinates of a straight line.

Option C is the coordinates of a bigger triangle

Option D has a different shape.

Only option B fulfills the required condition of similar shape and scale factor of 0.5 .

Vertices of a triangular garden:

A(4,2)

B(2,4)

C(6,4)

Scale factor = 0.5

What are the coordinates?

  • A coordinate system in geometry is a system that uses one or more numbers, or coordinates, to determine the position of points or other geometric elements on a manifold such as Euclidean space.
  • Coordinates are numerical distances or angles that uniquely identify points on two-dimensional (2D) surfaces or in three-dimensional (3D) space ( 3D ). Mathematicians, scientists, and engineers use a variety of coordinate schemes.

Learn more about coordinates here: brainly.com/question/24513436

#SPJ1

6 0
1 year ago
Find the value of x.<br> 6x+3(-3x+4)=13
iren [92.7K]

Answer:

x= -1/3 or -0.3

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
What is the probability that if you multiply two randomly-selected two-digit whole numbers, the result is greater than 100 and l
ohaa [14]

Answer:

4/675

Step-by-step explanation:

There can be 90  two-digit numbers ranging from 10 to 99. There will be

90 x 90= 8100 possibilities of randomly selecting and combining 2 entire two-digit numbers, if we find ax b to be distinct from bx a. When 10 is first chosen, there may be 9 two-digit numbers that could be combined within the required range for a product When 11 is chosen first, then the second two-digit number has 9 possibilities. 12 has seven options; 13 has six options; 14 has five options; 15 has four options; 16 has three options; 17 has two options; 18 has 2 options; and 19 has one option. It provides us 48 total choices so the likelihood that the combination of two randomly chosen two-digit whole numbers is one of theses  these possibilities is thus 48/8100 = 4/675.

8 0
3 years ago
What is the y- intercept of the graph of 2x + y = -4?
Brrunno [24]

First write the equation in slope-intercept form which is more commonly known as <em>y = mx + b</em> form where the <em>m </em>or the coefficient of the x term represents the slope of the <em>b</em> or the constant term represents the y-intercept.

Subtract 2x from both sides to get <em>y = -2x - 4</em>.

I put the x term first because that's how it is in y = mx + b form.

Now we can see that the <em>b</em> or the constant term is -4.

We can write this as the ordered pair (0, -4).

Keep in mind when writing a y-intercept as an ordered pair, your x-coordinate will always be 0 in the ordered pair.

8 0
2 years ago
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