. A solid metal cylinder of radius 5 cm and height 12 cm is melted down and recast into a
cone of base radius 10 cm.
Calculate the height of the cone.

Answers

Answer 1

Answer:

H = 9 cm

Step-by-step explanation:

The volume of the cylinder equal the volume

[tex]\pi\: \: {r}^{2} \times hcy = \frac{1}{3} \pi {r}^{2} \times hco \\ hco = 9 \: cm[/tex]

Answer 2

The height of the cone is 9 cm.

The volume of the cylinder = The volume of the Cone

This is because the exact metal cylinder was recast into a cone.

Volume of a cylinder:

volume = πr²h

r = 5 cm

h = 12 cm

volume = π × 5² × 12

volume = π × 25 × 12

volume  = 300π

Volume of a cone:

volume = 1 / 3 πr²h

r = 10 cm

h = ?

300π = 1 / 3 × π × 10² × h

300π = 100πh / 3

900π = 100πh

h = 900π / 100π

h = 9 cm

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Related Questions

Find the exact area of the shaded region

Answers

Don’t understand this kind of math

in Math, a Dilation is a transformation with scale factors such as 12,1/2,5,33 is it true or false?

Answers

True all those numbers are factors

I don’t know if it’s true or false

Answers

Answer:

false

Step-by-step explanation:

ur teacher is dum

In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?

8.95 +1.50r= Total

Answers

Answer:

7 refills

Step-by-step explanation:

Answer:

So I'm guessing the original price was 8.95 and each refill was 1.50.

8.95 + 1.50r = 37.45

r = 19

You got 19 refills

Can Somebody SOLVE THIS!!!

Answers

Answer:

C

Step-by-step explanation:

Substitute t = 5.5 into h(t) , that is

h(5.5) = - 16(5.5)² + 128(5.5) = - 484 + 704 = 220 ft → C

Simplify the expression 6x-9+3x+2 .

Answers

Answer:

9x - 7

Step-by-step explanation:

6x - 9 + 3x + 2

= (6x + 3x) (- 9 + 2)

= 9x - 7

Daniel wants to do 312 practice problems to prepare for an exam. If he wants to do approximately the same number of problems each day for 36 days, which best describes the number of problems that he needs to do each day?

Answers

Answer: 8/9 questions

Step-by-step explanation: 312/36= 8.6...

The answer depends on if you want to round up or down.

Raju is painting the walls and ceiling of a room with length, breadth and height of the room are 10m, 5m, 2m respectively. From each can of paint, 10m2 of area is painted. How many cans of paint will he need to paint the room?

Answers

Answer:

10 cans of paint

Step-by-step explanation:

Find the total area of the room

Divide the answer by 10meter squared.

Pls help me urgent pls

Answers

Answer:

You can use distance formula,

i. e. underroot (x sub2 - x sub1 )^ 2 - (y sub2 - y sub1 )

where u take first point as x sub1 and x sub2

and,

take second point as y sub1 and y sub2

where,

sub = subscript

Try for urselves and let me know

Hope it helps

Hope it helps ALL THE BEST !!

find the Measure of side C

Answers

Answer:

40

Step-by-step explanation:

26/sin(40 degrees) = 40.4488

Melissa earns a 2% commission on the first $750 of sales she makes each week. She earns a 3% commission on the amount of her sales that are greater than $750 each week. Melissa earned $37.50 in commissions last week.


Which equations correctly calculate how much money in dollars, x, Melissa made in sales last week?


Select all that apply.


0.02(750)+0.03(750−x)=37.5


0.03(x−750)=37.5−15


15+0.03x−22.5=37.5


0.02(750)+0.03(x−750)=37.5


15−0.03x+22.5=37.5


0.03(750−x)=37.5−15

Answers

The  equations that are correct are:

0.02(750) + 0.03(x - 750) = 37.5

0.03(750 - x) = 37.5 - 15

Given:

Melissa earns a 2% commission on the first $750 of sales.

She earns a 3% commission on greater than $750 each week.

1. Sales up to $750:

Melissa earns a 2% commission on the first $750 of sales.

=0.02(750)

= 15

2. Sales exceeding $750:

Melissa earns a 3% commission on the amount of sales that exceed $750.

0.03(x - 750) = 37.5 - 15

Combining both equations, we have:

0.02(750) + 0.03(x - 750) = 15 + 37.5 - 15

15 + 0.03x - 22.5 = 37.5

0.03x - 7.5 = 37.5

Adding 7.5 to both sides

0.03x = 45

Dividing both sides by 0.03

x = 1500

Therefore, the correct equations that calculate the amount of money Melissa made in sales last week are:

Equation 1: 0.02(750) + 0.03(x - 750) = 37.5

Equation 2: 0.03(750 - x) = 37.5 - 15

Learn more about Equation here:

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Jolly Roger Peanut Butter cost $3.59 for a small jar last year. This year the jar costs $4.19. What is the inflation rate, to the nearest tenth percent?

Answers

Answer: 16.7%

I took the k12 unit test

The inflation rate is given by the percentage error and is given by the equation A = 16.71 %

What is Percentage Error?

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage error is the difference between the measured value and the true value , as a percentage of the true value

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Given data ,

Let the inflation rate of percentage error be represented as A

Let the cost of the Jolly Peanut butter be = $ 3.59

So , the original cost = $ 3.59

Let the increased rate of Jolly Peanut butter be = $ 4.19

So , the increased rate = $ 4.19

Now , the inflation rate is given by the equation

Percentage Error = [ ( | Measured Value - True Value | ) / True Value ]x 100

Substituting the values in the equation , we get

Inflation rate A = ( ( 4.19 - 3.59 ) / 3.59 ) x 100

On simplifying the equation , we get

Inflation rate A = ( 0.6 / 3.59 ) x 100

Inflation rate A = 0.16713 x 100

Inflation rate A = 16.71 %

Therefore , the value of A is 16.71 %

Hence , the inflation rate is 16.71 %

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Which statements are true about the graph of f(x) = x sin 1/x?

Answers

Answer:

II and III

THATS IIITTT WHY SO MANY QUESTION!!!???

Please help I’ll give brainliest

Answers

Answer:

$3.29

Step-by-step explanation:

You need to find the unit price by dividing the cost by the amount.

24.33/7.4 = 3.29

Therefore, one pound of ham is $3.29.

Answer:

1. $3.29

2. $4.60

Step-by-step explanation:

Solve the equation n/10 + 5 =9. The solution is (Type the value of n.)​

Answers

Answer:

40

Step-by-step explanation:

n/10+5=9

n/10=9-5

n/10=4

n=4*10

n=40

143=n-27. PLZ HELP DUE TOMORROW

Answers

Answer:

n=170

Step-by-step explanation:

add 27 to 143

then the equation is n=170

-n= -27 -143
-n= -170


Answer
n=170

Please help!! I will give brainliest!

Answers

Answer:

Hope this helps you a little

Step-by-step explanatio

its  2nd one (nice pfp jucie wrld is a legend)

The value of(-2 )-5
please help

Answers

Answer: The answer is B.

Step-by-step explanation:

Just multiply -2 five times.

-2 * -2 * -2 * -2 * -2

-2*-2 = 4

-2*-2 * -2 = -8

4 * -8

=  -32

decimal form: .03125

Answer: I think the answer is B.

Helpppp meee pleaseee

Answers

B= the square root of 65

Formula: a^2= c*2-b^2

a^2= 81-16= 65

Once you find the square root of 65, thats your answer, but here they want you to keep it as 65.

Hope this helps!

f(x)=4x^2 − 10x+2
Find f(−7)

Answers

Answer:

f(-7)=268

Step-by-step explanation:

f(-7)=4x^2 − 10x+2

f(-7)=4(-7)^2-10(-7)+2

f(-7)=4(49)+70+2

f(-7)=196+72

f(-7)=268

Answer:

198

Step-by-step explanation:

4(-7)^2+70+2

196+2=198

help me pls and thank you​

Answers

Answer:

B

Step-by-step explanation:

2.25-2.25 is zero, the others have nothing to do with zero. A is a "distractor", but it ends up being 20.


show your work please :)

Answers

Step-by-step explanation:

yphñotdtowtkstlstoyosotstlstlstosupfhñznx$*□◇○}₩○¥■○♧■▪︎■♧○¥□•¥{•£{•£{{£•{¥{¥•£□•□£●£•●£$>£|•

What is the answer to this question?

What is the volume of this sphere?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Radius = 8 mm

Answers

The answer is 2143.57mm

HELP 13 POINTS!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]4^{-8} \\4^{-2}\\4^{8}\\4^2[/tex]

Step-by-step explanation:

For the first few exponents multiply and the rest they add because like terms.

The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.

Ayúdenme con estos problemas :(

Answers

En la primera tiñes que poner un tres en la parte de abajo y subir 5 para ariba y as lo mismo con los demás pero con los números que te ensaña espero esto te ayudo

EY YO I NEED HELP 24x5

Who wants to talk lol

Answers

Answer:

THE ANSWER IS 120

Step-by-step explanation:

AND SURE LETS TALKK

Answer:

24 × 5 is equal to 120

hi hi hi hi

:) :) :) :) :) :) :) :) :)

help! i'll give out a brainliest! just middle school level. <3!

Answers

Answer:3

Step-by-step explanation:

Answer:

3 hours

Step-by-step explanation:

A circle has an area of 64 pi . What is the exact circumference of the circle? Show your work.

Answers

Answer:

C≈28.36

Circle

Solve for circumference

C≈28.36

A Area

64

Using the formulas

A=πr^2

C=2πr

Solving forC

C=2√πA=2·√π·64≈28.35926

Step-by-step explanation:

Hope it is helpful.....

Out of 500 milliliters of hydrochloric acid, 237 milliliters were left after an experiment that used the acid. How much acid was used in the experiment? A. 156 ml B. 189 ml C. 263 ml D. 307 ml

Answers

Answer:

c. 263 ml

Step-by-step explanation:

have a nice day

cya

Given the triangles below, determine if they are similar. *
2 points
H
S
32
48
M
30
44
e
O Yes, A MHT ~ AQSW
O Yes, A MHT ~ AQWS
No, they're sides are not congruent
O No, they're sides are not proportional

Answers

Answer44

Step-by-step explanation:

5+5=10

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