A cone is placed inside a cylinder as shown. The radius of the cone is half the radius of the cylinder. The height of the cone is equal to the radius of the cylinder. What is the volume of the cone in terms of the radius, r?

A Cone Is Placed Inside A Cylinder As Shown. The Radius Of The Cone Is Half The Radius Of The Cylinder.

Answers

Answer 1

Step-by-step explanation:

Volume of Cone

= 1/3 * (Base Area) * (Height).

Since the radius of the cone is r/2, we have

Base Area = π(r/2)² = πr²/4.

Also the height of the cone is r.

Hence Volume of Cone

= 1/3 * (πr²/4) * (r)

= πr³/12. (C)

Answer 2

Answer: A 1/3

Step-by-step explanation:


Related Questions

How many 3/4s are in 2 ?
1 .Write a multiplication equation and a division equation that can be used to answer the question.
2.Draw a tape diagram and answer the question. Use the grid to help you draw, if needed.

Answers

Answer:

3/4 into decimal = 0.75

0.75 X 100 = 75

2 X 100 = 200

200/75 = 2.66666666

A department store sells a pair of shoes with an 56.3% markup. If the store bought the pair of shoes for $43.75, what is the selling price to the nearest cent?

Answers

Answer:

The selling price for the shoes will be $68.35

Step-by-step explanation:

Noah's family also wants to blow up a total of 60
balloons for the party. Yesterday they blew up 24
balloons. Today they want to split the remaining balloons
equally between four family members.

Answers

Answer: They each will get 9 balloons

Step-by-step explanation: I got my answer by doing 60-24=36 then i divided it between each of the 4 family members with equals 9 per famil member!

Which graph has a slope of 4/5?

Answers

Answer:

remake question and comment on this answer. don't forget the pictures of the graphs!

Simplity (4^-2)^5
A.1/4^10
B. 4^3
C.1/4^3
D. 4^10

Answers

Answer:

[tex](4^{-2})^5=\dfrac{1}{4^{10}}[/tex]

Step-by-step explanation:

The given expression is : [tex](4^{-2})^5[/tex]

We need to simplify the above expression.

We know that, [tex]x^{-a}=\dfrac{1}{x^a}[/tex]

or

[tex](4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}[/tex]

So, the simplified form of the given expression is [tex]\dfrac{1}{4^{10}}[/tex]. Hence, the correct option is (A).

Answer:

The answer is a 1/4^ 10.

Step-by-step explanation:

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long. Work out the length of the path

Answers

Answer:

d = 18.02 m

Step-by-step explanation:

Given that,

A rectangular lawn has a diagonal path running across it. The lawn is 10m wide and 15m long.

We need to find the length of the path.

The diagonal of a rectangle can be calculated as follows :

[tex]d=\sqrt{10^2+15^2} \\\\d=18.02\ m[/tex]

So, the length of the path is 18.02 m.

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Answers

Answer:

option 4

Step-by-step explanation:

The student council has $800 to spend on homecoming t-shirts. The number of t-shirts they can buy is a function of the price of the price of the t-shirt p, in dollars, given by n(p)= 800 over p.

Answers

Answer:

the price of the t-shirt is inversely proportional to the number of t-shirts to be bought.

Step-by-step explanation:

The total amount to be spent on t-shirts is $800.

The function;

   n(p) = 800 / p (price in dollars)

as the price per shirt increases, the number of shirt decreases and the curve moves down towards zero. When the price per shirt decreases, the number of shirt increases moving the curve upwards to infinity

Determine if the pair of figures are congruent and select the appropriate theorem if applicable.

A
The figures are not necessarily congruent.
B
The figures are congruent via the SSS Congruence Theorem.
C
The figures are congruent via the ASA Congruence Theorem. D
The figures are congruent via the SAS Congruence Theorem.

Answers

Answer:

ASA theorem

As you can see there are ángeles and only a line

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is this right?

Answers

Answer:

no the answer is 7.....

Answer:7

Step-by-step explanation:

27 divided by 3 is 9.

so

21 divided by 3 will give u the answer which is 7.

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Answers

Answer:

Translation you buffoon

Step-by-step explanation:

Answer:

TRANSLATION. A

Step-by-step explanation:

JSBDNSJDNSN

help pls fast
10. A door-frame of dimensions 3 mx 2 m is fixed on the wall of
dimension 6.5 mx 8 m. Find the area of the wall to be painted."​

Answers

Answer:

1st dimension of the door frame =3m×2m

=6m squared

now dimension the wall =6.5×8m

= 52m square

area that needs to be painted =52m-6m

=46m Square

Step 1:draw a triangle
Step 2:label the triangle using the given information .
Step 3: create and solve an equation to find the missing or angle.


At a point 30 feet from the base of a tree, the angle formed with the ground looking to
the top measures 53. Find, to the nearest foot, the height of the tree.

Can someone help me?

Answers

Answer:

40 feet to the nearest foot.

Step-by-step explanation:

The tree , the distance from the base of the tree on the ground (30 ft) and the distance from this point to the top of the tree form a right triangle.

So if the height of the tree is h:

tan 53 = h / 30

h = 30 tan53

h = 39.81 feet.

Find the length of ĀB.

A. About 3.6 units
B. 89 units
C. 13 units
D. About 9.4 units

Answers

Answer:

D. About 9.4 units

Step-by-step explanation:

[tex]ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units[/tex]


The tables represent linear relationships. Determine if each relationship is a
proportional or nonproportional situation please help

Answers

Answer:

5. proportional

6. nonproportional

36 flowers in 4 vases = flowers per vase?

Answers

The correct answer should be 9

Answer:

9 flowers per vase

Step-by-step explanation:

36 divided by 4 is 9

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Answers

Answer:

DF = 10 units

[tex]m\angle DFG = 28^\circ[/tex]

EG = 5.04

Step-by-step explanation:

Properties of Rhombus es

All Sides Of The Rhombus Are Equal. The Opposite Sides Of A Rhombus Are Parallel. Opposite Angles Of A Rhombus Are Equal. In A Rhombus, Diagonals Bisect Each Other At Right Angles. Diagonals Bisect The Angles Of A Rhombus.

The image contains a rhombus with the following data (assume the center as point O):

DO = 5 units

GF = 5.6 units

[tex]m\angle FEO = 62^\circ[/tex]

4. Calculate DF

Applying property 4, diagonals bisect each other, thus the length of DF is double the length of DO, i.e. DF=2*5 = 10:

DF = 10 units

5. Calculate [tex]m\angle DFG[/tex]

Applying property 4 in triangle EFO, the center angle is 90°, thus angle EFO has a measure of 90°-62°=28°.

Applying property 5, this angle is half of the measure of angle EFG and angle DFG has the same measure of 28°.

[tex]m\angle DFG = 28^\circ[/tex]

6. FG is the hypotenuse of triangle OFG, thus:

[tex]OG^2=FG^2-OF^2[/tex]

[tex]OG^2=5.6^2-5^2[/tex]

[tex]OG^2=6.36[/tex]

[tex]OG=\sqrt{6.36}=2.52[/tex]

EG is double OG: OG=2*2.52=5.04

EG = 5.04

Which expression represents the correct form of the partial fraction decomposition of 19x + 20 answer asap

Answers

The answer in the problem will be B I believe

Answer:

B

Step-by-step explanation:

got it right on edge

Becky has 785 tickets to trade for prizes. She picks a book that cost 27 tickets and a toy that cost 3 times as many tickets as the book. How many tickets does she have left?

Answers

Answer:

677

Step-by-step explanation:

785-27= 758

27*3= 81

758- 81= 677

I hope this helps!!!!

Can someone please help me w this
Consider the polygons, Name a series of transformations that will take ABC to A'B'C'.
What do we need to know about the triangles to show that they are congruent?

31
1/20
What is the x-value of the system of equations shown below?
2x + y = 6
y = 3x - 4
3
-2.
2.
Music
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Answers

Answer:

x=2

Step-by-step explanation:

First you put the equations in the form of y = mx + b

Then once they are like that it would look like:

y = -2x + 6

y = 3x - 4

So then you can set them equal to each other and it will look like this:

-2x + 6 = 3x - 4

Then you add 2x to both sides and get:

6 = 5x - 4

Next, add 4 to both sides and get:

10 = 5x

So then you will simplify by dividing both sides by 5 and getting:

2 = x

x-2
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Please help me due soon please

Answers

Answer:

First one is quinton

second one is 900

Step-by-step explanation:

Answer:

Card #10: Quiesha is right

Card #6: Ulysses is right

What is the sum of 2^5 and 7^2? Write the answer in the ordinary form.

Answers

Answer:

It's 81

Step-by-step explanation:

2^5 is 2*2*2*2*2 or 32

7^2 is 7*7 or 49

Add them together... 81

Evaluate 9 to the power of -1/2

Answers

Evaluate 9 to the power of -1/2

=> 0.05

The equivalent expression of ''9 to the power of -1/2'' would be 1/3.

Used the concept of the square root of a number that states that,

The square root of a number is the number that, when multiplied by itself, gives the original number.

Given that,

The expression is 9 to the power of -1/2.

Now, it can be written as,

9 to the power of -1/2

[tex]= 9^{- 1/2}[/tex]

[tex]= \dfrac{1}{9^{1/2} }[/tex]

[tex]= \dfrac{1}{(3^2)^{1/2} }[/tex]

[tex]= \dfrac{1}{3 }[/tex]

Therefore, the expression is written as 1/3.

To learn more about square root visit:

https://brainly.com/question/428672

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What is 2896.9874 rounded to the nearest hundredth?

Answers

2896.99 because the hundredth is the second number after decimal point

Grace earns $12 per hour. Phillip's earnings can be represented by the equation y = 10x where x is the number of hours worked and y represents the total amount earned. Who earns more? *

Answers

Answer:

Grace earns more. Her equation would be y = 12x, while Phillip's equation is y = 10x. Grace earns $2 more per hour.

Step-by-step explanation:

I sell video games, clothes, sneakers, and more. Check me out. h t t p s : / / w w w . m e r c a r i . c o m / u / 6 4 6 4 5 4 8 0 6

Answer: y=120

Step-by-step explanation:

A number is first increased by 20 and then doubled. The result is 2 less than 5 times
the number.
whats the equation?

Answers

i  think maybe ? x+20*2=5-2*x

Answer:

Step-by-step explanation:

i  think maybe ? x+20*2=5-2*x

The figures shown are similar. Find the lengths of x,y and z

Answers

x = 12.75
y =18
z =12.75

Answer:

explanation po sana ang kailangan

Help plz ! Find the slope of the line

Answers

Answer:

-2/1

Step-by-step explanation:

Can someone order these to least-greatest??

AWARDING BRAINIEST WHO EVER ANSWERS FIRST!!

Answers

Answer:

_1 ,0.05 ,0.1 ,2.3 ,8/7

Step-by-step explanation:

hoped I helped

HELP PLEASE ANSWER 7

Answers

Answer:

f(x) = 7

Step-by-step explanation:

we use the bottom equation (4x+3) because

1 > 0

so

4(1) +3 = 7

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