Mathematics High School

A cone fits inside a square pyramid as shown. For
every cross section, the ratio of the area of the circle to
Since the area of the circle is the area of the
square, the volume of the cone equals
the area of the square is
or 7
402
o the volume of the pyramid or - Alenchor
arh.
Cross section
r
o the volume of the pyramid or
+(1200)
2n.
o the volume of the pyramid or z { nºm) or
7
2r
2r
22h.
0 Į the volume of the pyramid or = { 29°m) oraz
arh.
m no

Answers

Answer 1

The volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

The ratio of the area is given as:

[tex]R= \frac{\pi r^2}{4r^2}[/tex]

[tex]R= \frac{\pi}{4}[/tex]

The volume of a cone is:

[tex]V_1 = \frac 13 \pi r^2 h[/tex]

For a pyramid, the volume is:

[tex]V_2 = \frac 43 r^2h[/tex]

Rewrite as:

[tex]V_2 = 4 * \frac 13 r^2h[/tex]

Divide by 4

[tex]\frac{V_2}{4} = \frac 13 r^2h[/tex]

Substitute [tex]\frac{V_2}{4} = \frac 13 r^2h[/tex] in [tex]V_1 = \frac 13 \pi r^2 h[/tex]

So, we have:

[tex]V_1 = \frac{V_2}{4} * \pi[/tex]

This gives

[tex]V_1 = \frac{\pi}{4} V_2[/tex]

Hence, the volume of the cone is [tex]\frac{\pi}{4}[/tex] the volume of the pyramid

Related Questions

:) A linear equation written in the form Ax + By = C is in

Answers

Answer:

Standard Form

Step-by-step explanation:

Which expression is a sum of a number and a product

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all i can see is a black screen? try uploading again or put it in the comments :D

Which statement correctly relates the dilation of a circle with its new area?

Answers

Answer:

i believe it’s D

Step-by-step explanation:

is it right for people to get credit for an answer if they looked it up?

Answers

Yes.
Why?
They worked hard to get that answer by typing things and typing requires work.
Which means credit should be earned

Thank you for your time

Answer: I mean if you can summarize the answer and put it in your on answer then yeah.

Step-by-step explanation:

What the answer I nee this so I can move to the 9th grade

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Answer:

el un angulo recto, la concha de tu hermana

Step-by-step explanation:

no seas boludooo

what dose 0.31 × 1.4 =

Answers

the correct answer to your question is 0.434

About 71% of Earth’s surface is covered in water. If the surface area of the Earth is about 196,900,000 square miles, About what percent of the Earth’s surface is not covered in water? How many square miles is this?

Answers

Answer:

29 percent of the earth is not covered by water and 57,101,000 Square miles

Step-by-step explanation:

Vanna is saving for a trip. The hotel room will be $298.17 for 3 nights, and there will be additional fees. What is her daily cost?

Answers

Answer:

The daily cost is $99.39.

Step-by-step explanation:

In order to find the answer with the information provided, you have to divide the price given for 3 nights by the number of nights to determine the price per night which would be her daily cost:

$298.17/3=$99.39

According to this, the answer is that the daily cost is $99.39.

NEED HELP W MY OTHER QUESTIONS! plsss

Answers

Answer:

x = 80 degrees

Step-by-step explanation:

80°. It’s going to be equal to the other side

HELP PLEASE HELP I WILL MARK BRAINLEST 3. Elena types approximately 50 words per
minute. How many minutes will it take her to
type an essay with a maximum of 800 words?
Inequality
Solution

Answers

Answer:

if she types 50 words per minute it would be 16 minutes for her to get to 800 words

Step-by-step explanation:

Answer:

16 minutes

Step-by-step explanation:

800 divided by 50 = 16

1. Simplify (45) - (+14) .

Answers

Step-by-step explanation:

45 - ( +14 )

= 45 - 14

= 31

Hope it helps

Katherine has 4 red pens, 6 blue pens, and 11 black pens in her book bag. If she randomly pulls out one pen, what is the probability that it will be black?

Answers

Answer: 52.38%

Step-by-step explanation:

11 out of 21

11/21

.5238

52.38%

Use the Pythagorean theorem to find z.

Answers

hope this helps you mate!

1. Marcus needs to bike at least 80 miles this week for his training. If he has already biked 25
miles this week, then how many miles should he bike on each of the 5 remaining days this week?
Variable:
Inequality:
Solution:

Answers

Answer:

There someone already asked the question

10. A bag contains black and white marbles. Overall, there are 36 marbles in the bag. If there are
14 more black marbles than white marbles, how many of each color are in the bag?
Equation #1
Equation #2
black marbles
white marbles

Answers

Answer:

25 black and 11 white

Step-by-step explanation:

lets say black marbles are x and white marbles are y

x+y=36

y+14=x

So: y+14+y=36

2y=22

y=11

Hence, x=25

Hope that helps!

What is the value of 7P3?
021
35
210
840

Answers

Answer:

210

Step-by-step explanation:

The answer for 7p3 is : 210. This can be solved in the following way: 7p3 is an expression for permutation which means the number of ways of arranging 3 items from a total of 7 items.

Hope This Help?

Please Mark Me Brainly!

Veronica is an English tutor. She charges $60 for each tutoring session plus $0.75 per mile that she has to drive to and from the session. Write an equation to represent this situation. Explain how you got your equation.

Answers

Answer:[tex]60+0.75x[/tex]

Step-by-step explanation:

Given

Veronica charges $60 for each tutoring session

Also, there is an additional charge of $0.75 per mile

Suppose she drive x miles and the total cost is represented by C

the additional cost of driving is [tex]0.75\times x=0.75x[/tex]

[tex]\therefore[/tex] The total cost for the session will be the sum of fixed cost and variable driving cost

[tex]\Rightarrow C=60+0.75x[/tex]

A corner store sells two kinds of baked goods: cakes and
pies. A cake costs $11 and a pie costs $6. In one day, the
store sold 9 baked goods for a total of $84. How many
cakes did they sell?

Answers

Answer:

They sold 4 cakes

and 5 pies...

Step-by-step explanation:

four cakes cost $44 and 5 pies cost $30

44+30= 84

really I just used trial and error by plugging in numbers.

hope this helps chu <3

I will mark as brainliest plzz!!

Which equation is true for X = 1.8

Answers

Answer:

x=9/5

and as a decimal it is 1.8

Step-by-step explanation:

Es la segunda es la que empieza por 3

What is the slope of the line?

Answers

-3/2

slope = rise/run

We can use the two points to calculate rise (y value change) and run (x value change)

slope = (-6)/4 = -3/2

If answered correctly I will give brainliest!

Answers

Answer:

a2 +b2 = c2

81 + 144=225

square root 225

15 is the answer

What is the area of this figure?

Enter your answer in the box.

( )

Answers

Answer:

Step-by-step explanation:

its a trapezium 0.5(a+b)h

please help me to find

Answers

Answer:

2/3

Step-by-step explanation:

10/15 = 2/3

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Determine what type of transformation is represented.
A.Reflection
B.Dilation
C.none
D.Rotation

Answers

That’s a rotation my boy

Given situation represents rotation transformation.

The correct answer is an option (D)

What is transformation?

"It is the method of transforming the shape or size of an geometric object using different rules and methods."

What is translation?

"It is a geometric transformation in which the object is moved from one place to another without change in its shape, size and orientation."

What is dilation?

"It is a transformation where changing the size of an object without changing its shape."

What is rotation?

"It is a geometric transformation in which the object is rotated about the axis of rotation without changing the size and shape of an object."

For given question,

ΔA'B'C' is transformed to ΔABC

We can observe that if we rotate ΔA'B'C' anticlockwise through certain angle then it would match ΔABC.

Therefore, the given situation represents rotation transformation.

The correct answer is an option (D)

Learn more about the transformation here:

https://brainly.com/question/22532832

#SPJ2

What is the solution to the equation below?
50+4= 2(C-5)
I need help I don’t know how to solve this problem!

Answers

Answer:

c=28

Step-by-step explanation:

50-4=2(c-5)

apply distributive property

50-4=2c-10

now simplify

46=2c-10

56=2c

28=c

Division sum:
20 ➗ 2 =

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

20/2 = 10

Daniel is baking a cake for Aaron's birthday. The recipe requires 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder. What is the total amount of ingredients in cups if Daniel makes the cake twice as large as the recipe calls for?

Answers

Answer

4 6/12 or 2 3/4 cups of total ingredients

Step-by-step explanation:

There are 2 1/2 cups of butter, 1/3 cups of brown sugar, and 1/2 cups of baking powder.

You'd want to make the denominators the same numbers so it would be easier to divide.

So I multiplied 2 1/2 times 3, 1/3 times 2, and 1/2 times 3.

Then all the numbers would have a denominator of 6. Don't multiply the whole numbers or the numerators. Just the denominator.

''THE NUMBERS'' would change to 2 1/6, 1/6, and 1/6.

If I were to add that it would be 2 3/6.

BUT, You need to multiply by 2 after because it says in the question "How many ingredients in cups will Daniel make the cake twice as large".

What is 2 3/6 times 2 = 4 6/12 total.

If it says to simplify the answer. It would be "'2 3/4 total'' or both answers are correct

AB describes a line.
AB has a gradient of 3 and passes through the point (1, 15)
Find the equation of line AB,

Answers

Answer:

y = 3x + 12

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 3 , then

y = 3x + c ← is the partial equation

To find c substitute (1, 15) into the partial equation

15 = 3 + c ⇒ c = 15 - 3 = 12

y = 3x + 12 ← equation of line AB

graph the solution to this inequality on the number line. -4x+7>x-13

Answers

Answer:

the solution is x<4 (color green)

Step-by-step explanation:

hello :

draw the graph for the line : y= x-13 ( color bleu)

draw the graph for the line : y= -4x+7 ( color red)

the solution is x<4 (color green)

Identify the radius, diameter, and height of each cylinder, Find the Volume.

Answers

Answer:

36pi cm^3 or 113.097 cm^3

Step-by-step explanation:

Diameter = 6

Radius = 3

Height = 4

Volume = pi * r^2 * h

pi(3)^2*4 = 36pi cm^3 or 113.097 cm^3

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