How to find volume of a cylinder by using the same dimensions of a cone but only knowing the volume of the cone

Answers

Answer 1

Answer:

Multiply the volume of the cone by 3

Step-by-step explanation:

Required

Volume of a cylinder from a cone of the same dimension

The volume of a cone is:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

The volume of a cylinder is:

[tex]V_2 = \pi r^2h[/tex]

Recall that:

[tex]V_1 = \frac{1}{3}\pi r^2h[/tex]

Split:

[tex]V_1 = \frac{1}{3}*[\pi r^2h][/tex]

Substitute: [tex]V_2 = \pi r^2h[/tex]

[tex]V_1 = \frac{1}{3}*V_2[/tex]

Make V2 the subject

[tex]V_2 =3V_1[/tex]

This implies that, we simply multiply the volume of the cone by 3


Related Questions

1. Find the coordinates of the center and the measure of the radius for a circle whose equation is
(x - 8) + (y + 4) = 12

Answers

Answer:

the center of this circle is (8, -4) and the radius is 2√3.

Step-by-step explanation:

Compare this equation

(x - 8) + (y + 4) = 12      Don't forget to type in the " ^ " symbol to indicate exponentiation.

(x - 8)^2 + (y + 4)^2 = 12

to the standard equation of a circle with center at (h, k) and radius r:

(x - h)^2 + (y - k)^2 = r^2

In this way we learn that h = 8, k = -4 and r^2 = 12 (or r = 2√3).

Then the center of this circle is (8, -4) and the radius is 2√3.

How many toys would Louis build in 10 hours if she built 3 toys every 20 minutes?

Answers

Answer:

90 toys

Step-by-step explanation:

We should use the same unit for time.  Rewrite 20 minutes as 1/3 hour.

The unit rate is then:

    3 toys         9 toys

----------------- = -----------

 1/3 hour          hour

Multiply this unit rate by 10 hours, obtaining 90 toys

State whether or not the following triangles are similar. If not, explain why not. If so, write a similarity statement

Answers

9514 1404 393

Answer:

  a) ∆RLG ~ ∆NCP; SF: 3/2 (smaller to larger)

  b) no; different angles

Step-by-step explanation:

a) The triangles will be similar if their angles are congruent. The scale factor will be the ratio of any side to its corresponding side.

The third angle in ∆RLG is 180° -79° -67° = 34°. So, the two angles 34° and 67° in ∆RLG match the corresponding angles in ∆NCP. The triangles are similar by the AA postulate.

Working clockwise around each figure, the sequence of angles from lower left is 34°, 79°, 67°. So, we can write the similarity statement by naming the vertices in the same order: ∆RLG ~ ∆NCP.

The scale factor relating the second triangle to the first is ...

  NC/RL = 45/30 = 3/2

__

b) In order for the angles of one triangle to be congruent to the angles of the other triangle, at least one member of a list of two of the angles must match for the two triangles. Neither of the numbers 57°, 85° match either of the numbers 38°, 54°, so we know the two triangles have different angle measures. They cannot be similar.

Please answer correctly! I will mark you Brainliest! The pictures go together!

Answers

Answer: the volume of the cone is 21 inches cubed

Step-by-step explanation:

Answer:

65.97 or 65.96

Step-by-step explanation:

follow this picture and i want you to know that sometimes if you look it up and put in the info, it will be 1 or 2 off. sometimes it’s right. the actual formula for finding volume is V= 1/3h(pi)r and to the second power.

now i have no clue if i did this right but i will let you follow your instinct and whatever anyone else says! i’m sorry if this isn’t helpful but i tried by best at describing :)

Plz help I’ll give brainliest

Answers

1. y= -5

2. m=0

3. I dont know

1. 3x+4y=-20

x=0

3×0+4y=-20

0+4y=-20

y=-5

2. m=y/x

m=0/1

m= 0

3. Sorry

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Answers

Answer:

the answer is no. D

Step-by-step explanation:

Answer:

Oh, yes it is D

A video game regularly costs $29.95 is on sale for 15% off. About how much is the sale price of the game is you include 8% sales tax?​

Answers

Answer:

$27.50

Step-by-step explanation:

First, find the cost with the 15% off sale

29.95(0.85)

= 25.46

Find the price with the sales tax:

25.46(1.08)

= 27.5

So, the sale price of the game with tax is approximately $27.50

Ms. Keating’s class wants to compare the use of social media between the seventh-grade students and eighth-grade students at Valleydale School.The MAD (the average distance between each data value and the mean) for both data sets is approximately 14. What can you infer about the two sets of data?

Answers

Answer:

Need to add picture

Step-by-step explanation:

What is 1/4 of 32? Whoever answers first gets Brainliest.

Answers

Answer:

8

Step-by-step explanation:

it is

Answer:

8

Step-by-step explanation:

1/4 of 32

1/4 = 25%

25% of 32

32 × 25 ÷ 100

= 8

or

32 ÷ 4 =8

Help and an explanation would be greatly appreciated.​

Answers

Answer:

the answer is D

hope it help

Answer: D, x²-6x+9

Step-by-step explanation:

(x-3)² is the same as (x-3)(x-3).

So you would do:

x times x=x²

x times -3=-3x

-3 times x=-3x

-3 times -3=9

The equation would look like this:

x²-3x-3x+9

Then you would have to collect the like terms. Like terms are terms that have the same variables and powers. So it would look like this:

x²-6x+9

Hope this helps :)

The triangle on the grid will be translated two units left.

On a coordinate plane, triangle A B C has points (negative 1, negative 1), (negative 1, negative 5), (0.5, negative 5).

Which shows the triangle when it is translated two units left?
On a coordinate plane, triangle A prime B prime C prime has points (1, negative 1), (1, negative 5), (2.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 3, negative 1), (negative 3, negative 5), (negative 1.5, negative 5).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, 1), (negative 1, negative 3), (0.5, negative 3).
On a coordinate plane, triangle A prime B prime C prime has points (negative 1, negative 3), (negative 1, negative 7), (0.5, negative 7)

Answers

Given:

The vertices of a triangle are A(-1,-1), B(-1,-5), C(0.5,-5).

The figure is translated 2 units left.

To find:

The vertices and the diagram of the triangle after the given translation.

Solution:

if a figure is translated 2 units left, then

[tex](x,y)\to (x-2,y)[/tex]

Using the above rule, we get

[tex]A(-1,-1)\to A'(-1-2,-1)[/tex]

[tex]A(-1,-1)\to A'(-3,-1)[/tex]

Similarly,

[tex]B(-1,-5)\to B'(-1-2,-5)[/tex]

[tex]B(-1,-5)\to B'(-3,-5)[/tex]

And,

[tex]C(0.5, -5)\to C'(0.5-2,-5)[/tex]

[tex]C(0.5, -5)\to C'(-1.5,-5)[/tex]

So, the vertices of the triangle after the translation are A'(-3,-1), B'(-3,-5), C'(-1.5,-5).

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

What is the sum of the interior angles of a regular dodecagon (12 sided polygon)? Round to
the nearest thousandth.

Answers

Answer:

1800°

Step-by-step explanation:

(12-2)x180 = 1800

If y varies inversely as x, and y = 33 when x = 7, what is the constant and what is value of y when x=11?

Answers

Answer:

We have that y = 21 when x = 11.

Step-by-step explanation:

We solve this question by proportions, using a rule of three.

Since they vary inversely, we apply the inverse rule of three, that is, with lateral multiplication instead of diagonal.

33 - 7

y - 11

So

[tex]11y = 33*7[/tex]

Dividing both sides by 11

[tex]y = 3*7 = 21[/tex]

We have that y = 21 when x = 11.

What is 3b to the second power if b is 4

Answers

Normally when the number is directly beside another number it indicates to multiply. So 3x4= 12 and 12 to the second power is 144. Its just a guess I’m not exactly sure if this is how to solve!

what is the range of the following data set ? 16, 19, 24, 27, 29, 32, , 33, 34

Answers

The range is 18. Hope this helps!

Erika pours 6 cups of milk into 8 glasses. Each glass has the same amount of milk. How many cups of milk are in each glass?

Answers

Answer:

each glass will have 0.75 of a cup or 3/4 of a cup * 0.75 and 3/4 is the same*

how do I solve this??

Answers

Answer:

i guess you multiply 3and 30good lu8ck

Step-by-step explanation:

Answer:

3x+30=90 complementary

3x=90-30

x=60/3=20

x=20° is your answer

I have 10 shirts, 9 pants, 4 shoes, and 1 hats. How many unique outfits do I have?​

Answers

360 outfits i think i wouldnt take that as fact tho

(x^4+3x^3+x-4)/(x+3)

Answers

Answer:

x^3 + 1 +  (−7) /  x+3

Step-by-step explanation:

You just obtained a credit card. You immediately purchase a stereo system for $200. your credit limit is $1000. Let's assume that you make no payments and purchase nothing more and there are no other fees. The monthly interest rate is 1.42%.
What is the growth rate of your credit card balance?
A. 0.42
B. 0.0142
C. 14.2
D. 142

Answers

Answer:

its b

Step-by-step explanation:

have a great day <3

The growth rate of your credit card balance is approximately 0.0142.

Therefore, the correct option is B.

Given that you got a credit card, you purchased a stereo system for $200. your credit limit is $1000.

The monthly interest rate is 1.42%.

We need to determine the growth rate of your credit card balance,

To calculate the growth rate of your credit card balance, we need to consider the monthly interest rate and the initial purchase amount.

The monthly interest rate is 1.42%, which can be expressed as a decimal by dividing it by 100: 0.0142.

The initial purchase amount is $200.

Assuming no payments are made and no additional purchases are made, the credit card balance will increase each month due to the accrued interest.

To calculate the growth rate, we can divide the accrued interest by the initial purchase amount.

Accrued interest = Monthly interest rate x Initial purchase amount

= 0.0142 x $200

= $2.84

Growth rate = Accrued interest / Initial purchase amount

= $2.84 / $200

≈ 0.0142

Therefore, the growth rate of your credit card balance is approximately 0.0142, which corresponds to option B.

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I need help Please i will give brainlist Please and thank you ​

Answers

Answer:

all I know is the answer for 5 so it is 2.0

Step-by-step explanation:

Answer:

4. 79.17%

5. 2.5

Step-by-step explanation:

4.  Q3 - Q1 = 4.75 - 0 = 4.75

      [tex]\frac{4.75}{6} *100[/tex] = 79.17

5.  Q3 - Q1 = 4.75 - 2.25 = 2.5

Please help me with this

Answers

Answer:

x = -2

Step-by-step explanation:

y = -4

2x -3y = 8

Substitute the first equation into the second equation

2x - 3(-4) = 8

2x +12 = 8

Subtract 12 from each side

2x+12-12 = 8-12

2x = -4

Divide by 2

2x/2 = -4/2

x = -2

1/4(16p+8) ÷ 2(p+2)
someone help​

Answers

Answer: 1/2(16p+8)(p+2)

Explanation: There is a lot to do, but basically you must simplify the equation and then multiply by 4 on both sides

Martin drew a triangle. Its sides were

3

cm

3 cm3, start text, space, c, m, end text,

4

cm

4 cm4, start text, space, c, m, end text, and

5

cm

5 cm5, start text, space, c, m, end text.

It has one right angle and two acute angles.

Answers

Answer:

It is a right triangle

Step-by-step explanation:

Complete question

Martin drew a triangle. Its sides were 3\text{ cm}3 cm3, start text, space, c, m, end text, 4\text{ cm}4 cm4, start text, space, c, m, end text, and 5\text{ cm}5 cm5, start text, space, c, m, end text. It has one right angle and two acute angles. Complete the sentence to describe the triangle Martin drew. Martin's triangle is ----- and ------ .

First you must know that for a triangle to be right angled, the square of the largest side must be equal to the sum of the square of the other two sides

Given

Largest side c = 5

Other sides a = 3 and b=4

Square of largest side c² =5²=25

Sun of the squares of other two sides = a²+b²

Sum of the squares of other two sides =3²+4²

Sum of the squares of other two sides = 9+16 =25

Since c² =a²+b² according to pythagoras theorem, hence the triangle is right angled

What is the value of x? sin(x+37)°=cos(2x+8)° Enter your answer in the box. x =

Answers

The answer is x = 15.

15 or 20.33 are the possible values of the x.

What is algebraic Expression?

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

We know that sin(x+37)°=cos(90°-(x+37)°) and cos(2x+8)°=sin(90°-(2x+8)°)

So we have sin(x+37)°=cos(2x+8)° becomes sin(x+37)°=sin(82°-2x)

For the above equation to be true, either of the following must hold:

x+37 = 82 - 2x (since the sin function is periodic)

x+37 = 180 - (82-2x)

Solving the first equation for x gives:

3x = 45

x = 15

Solving the second equation for x gives:

3x = 61

x = 20.33 (rounded to two decimal places)

Therefore, the possible values of x are 15 or 20.33 (rounded to two decimal places).

Learn more about algebraic Expression here:

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i dont actually have a question to put here so look at the photo​

Answers

Answer:

it's the third option

Step-by-step explanation:

I think I'm pretty sure

hope this helped ;)

The graph shows the amount of money in a savings account over a period of 10 weeks.
How much money was saved over the 10 week period?

A) $50

B) $80

C) $110

D) $112

Answers

Answer:

A) $50

Step-by-step explanation:

Answer:

+$50

Step-by-step explanation:

Day #0 = $30

Day #10 = $80

80 - 30 = 50

:P

5. Calculate the area.
9ft
4
11 ft.
ООО
40
44
о
396

Answers

[tex]area = b \times h \\ = 11 \times 4 \\ = 44[/tex]

Find the volume of the cylinder. Use 3.14 for T.

height of 1ft radius of 2ft

Answers

Answer:i don’t know yet give me a sec

Step-by-step explanation:

Answer:

12.56 cubic feet (ft^3)

Step-by-step explanation:

Area of the circular face of the cylinder = (pi)r^2, or (3.14)(2)^2.

This ends up being equal to 12.56. Multiply this by the height of the cylinder, 1, and you get 12.56, your final answer.

I would appreciate Brainliest, but no worries.

Find the slope of the line

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

Slope = -6

Step-by-step explanation:

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