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Lorico [155]
3 years ago
11

What is the similarity ratio of the smaller to larger similar cones?

Mathematics
2 answers:
Flura [38]3 years ago
6 0

V=1024 pi m^3 and v=250 pi m^3
the similarity ratio of the smaller to larger similar cones is 
k= V/v=1024 pi m^3/250 pi m^3= 4.096
the great cone is 4.096 times of the small cone (in volume)
Vlad1618 [11]3 years ago
3 0

Answer: We get that the volume of larger cone is 4.096 times the volume of smaller cone.

Step-by-step explanation:

Since we have given that

Volume of large cone = 1024π m³

Volume of smaller cone = 250 π m³

We need to find the relation between the volume of larger and smaller one.

So, Ratio of volume of larger one to volume of smaller one.

\dfrac{\text{Volume of larger one}}{\text{Volume of smaller one}}=\dfrac{1024\pi}{250 \pi}=4.096

So, we get that the volume of larger cone is 4.096 times the volume of smaller cone.

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galben [10]

I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.

You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.

hope I helped ^^

3 0
3 years ago
Read 2 more answers
Question content area top
BigorU [14]

The volume of the slice is 40 in³. The volume of the remaining cake would be 197.014 in³.

<h3>What is a regular hexagon?</h3>

A regular hexagon can be defined as a closed shape consisting of six equal sides and six equal angles.

Here we have two regular hexagons

one top small hexagon cake with a side of length = 3 in, height = 3 in

One big hexagon cake, side of length = 4 in, Height = 4 in

A slice cut such that it removes a side segment is equivalent to an equilateral triangle with a side

length = length of hexagon side

The length of the side of the removed equilateral triangle side

Top small cake slice triangle side = 3 in.

Area of surface of small slice = 1/2 x b x h = 1/2 x 3 x 3 x sin 60

                                                = 9√3/ 4

The volume of a small slice  

=  Area of surface small slice × Height of small cake

= 9√3/ 4  x 3

= 11. 69

Big cake slice triangle side = 4 in.

Area of the surface of big slice = 1/2 x 4 x 4 x sin 60

                                                    = 4√3

The volume of big slice =  Area of the surface of big slice × Height of big slice

= 16√3

= 28

The total volume of slice = Volume of small slice + Volume of big slice

Total volume of slice = 12 in³ +28 in³ = 40 in³

For the small cake,

the remaining volume = 5 x 11.69 = 58.45

For the big cake

the remaining volume = 5 x 27.71 = 138.56

Total volume remaining cake

= 58.45 in³ + 138.56 in³ = 197.014 in³

a = Length of side

h = Height of hexagon

The volume of each slice is,

= a^2 x h x √3/4

For the small cake, we have

a = 3 in.

h = 3 in.

The volume of small slice = a^2 x h x √3/4

                                   = 9 x 3 x √3/4

                                   = 27√3/4

For the big cake, we have

a = 4 in.

h = 4 in.

Volume of big slice =  a^2 x h x √3/4

                                = 16 √3

The total volume of slice = Volume of small slice + Volume of a big slice

Total volume of slice = 27√3/4 + 16 √3

The total volume of the slice = 39404 in³.

Learn more about hexagon;

brainly.com/question/16025389

#SPJ1

3 0
2 years ago
What are the solutions to the following system? StartLayout Enlarged left-brace 1st row negative 2 x squared + y = negative 5 2n
Yakvenalex [24]

Answer:

(\sqrt{2},-1),(-\sqrt{2},-1)

(StartRoot 2 EndRoot, negative 1) and (negative StartRoot 2 EndRoot, negative 1)

Step-by-step explanation:

we have

-2x^{2} +y=-5 ----> equation A

y=-3x^{2} +5 -----> equation B

solve by substitution

substitute equation B in equation A

-2x^{2} +(-3x^{2} +5)=-5

solve for x

-5x^{2} +5=-5

-5x^{2}=-10

x^{2}=2

x=\pm\sqrt{2}

<em>Find the value of y</em>

y=-3x^{2} +5

For x=\sqrt{2} ----> y=-3(\sqrt{2})^{2} +5=-1

For x=-\sqrt{2} ----> y=-3(-\sqrt{2})^{2} +5=-1

therefore

The solutions are

(\sqrt{2},-1),(-\sqrt{2},-1)

(StartRoot 2 EndRoot, negative 1) and (negative StartRoot 2 EndRoot, negative 1)

8 0
3 years ago
Read 2 more answers
Serrians triangle has a height of 3x-4 and the base length is 8x+4 what is the area of the triangle
kirill115 [55]
Area of a triangle is base × height ÷2
base=8x+4 x=-4/8 x=-1/2
height=3x-4 x=4/3

A=b×h÷2
A=(-1/2×4/3)÷2
A=(-4/6)÷2
A=(-4/6)÷2/1 to divide by fractions flip the second and multiply
A=-4/6×1/2
A=-4/12
A=-1/3
3 0
3 years ago
Steve is driving from Las Vegas, Nevada to San Diego, California. The drive is 331 miles, how fast will he have to drive to get
Marrrta [24]
Divide 331 by 4.5
331/4.5= 73.555555555555 so you can round to 73.6 mph
5 0
3 years ago
Read 2 more answers
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