A solid metallic sphere of radius 3 cm is melted and drawn into a cylindrical wire of radius 5 mm. Find the length of the wire.

Answers

Answer 1

Answer:

144 cm

Step-by-step explanation:

Given

Radius of a sphere = 3 cmRadius of a cylinder = 5 mm = 0.5 cm

Volume of a sphere

V = 4/3πr³= 4/3*3³π = 36π cm³

Volume of a cylinder

V = πr²h = π*0.5²h = 0.25πh cm³

Comparing volumes to get the length of the wire

36π = 0.25πhh = 36π/0.25π = 144 cm

Related Questions

(a^(?))/(a^(10))= a^(4) help me

Answers

Answer:

a^? = 14

Step-by-step explanation:

a^? / a^10 = a^4

is also the same as

a^? - a^10 = a^4 ( due to laws of indices)

a^? = a^4 + a^10

a^? = a^14

the a's striking each other resulting in

? = 14

What is the biggest number less than 1,000 that has only 2s in its prime factorization?

Answers

Answer:

If we can make it by multiplying other whole numbers it is a Composite Number. 2 is Prime, 3 is Prime, 4 is Composite (=2×2),

Step-by-step explanation:

simplify √6+3√6
18√2

4√36

18

4√6

Answers

Answer:

Step-by-step explanation:

√6 + 3√6 = 4√6

Hope this helps

plz mark as brainliest!!!!!!

Pls help me In this asap

Answers

3x^2+1/ (1-x) (x+3) you have to simplify the expression

Answer:

1

Step-by-step explanation:

Please see the attached picture for full solution.

☆5th line

Neumerator:

(a +b)²= a² +2ab +b²

Thus, (1 +x)²= 1² +2(1)(x) +x²

Denominator:

(a -b)²= a² -2ab +b²

Thus, (1 -x)²= 1² -2(1)(x) +x²

convert 120 inches to feet ther are 12inches in a foot
O A 1440
O B 1200
O C 20
O D 10

Answers

Answer:

D

Step-by-step explanation:

12 times 10 = 120

Answer:

D 10

Step-by-step explanation:

Converting inches to feet, and there are 12 inches in one foot, so divide 120 by 12, which gives you 10. So 120 inches to feet is 10 feet

What is the cost of r grapefruits, if each grapefruit costs s?

Answers

Answer:

rs

Step-by-step explanation:

r*S=rs

The cost of r grapefruits, if each grapefruit costs s will be rs.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The cost of r grapefruits, if each grapefruit costs s will be given by the multiplication of the letters r and s.

Cost = r × s

Cost = rs

The cost of r grapefruits, if each grapefruit costs s will be given as 'rs'.

More about the Algebra link is given below.

https://brainly.com/question/953809

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5.) Write the explicit formula for the arithmetic sequence. -18, -7, 4, 15, 26,...​

Answers

Answer:

  an = -18 +11(n -1)

Step-by-step explanation:

We notice that the first term (a1) is -18, and the common difference (d) is -7-(-18) = 11. Filling these values into the form for the explicit formula gives ...

  an = a1 +d(n -1)

  an = -18 +11(n -1)

K is between H and J, HK = x + 4, KJ = 2x - 1, and HJ = 5x - 3. What is the value of x?

Answers

[tex]HK + KJ = HJ\\x + 4 + 2x - 1 = 5x - 3\\x + 2x - 5x = -3 - 4 + 1\\-2x = -6\\x = 3[/tex]

The value of n in the inequality 3n + 1 < 7 is

Answers

Answer:

n<2

Step-by-step explanation:

3n+1 < 7

3n + 1 + (-1) < 7 +(-1)

3n < 6

(3n)/3< 6/3

n < 2

Hope this helps!!!

Which operation should be used to solve x + 7 = 19?
÷ 7
– 7
x 7
+ 7

Answers

Question:

Which operation should be used to solve x + 7 = 19?

÷ 7

– 7

x 7

+ 7

Answer:

-7 is the correct answer.

Solution:

Because when we'll use -7 then the 7 in the LHS will get cancelled.

x + 7 = 19

or, x + 7 - 7 = 19 - 7

or, x = 12

Susan enlarged a rectangle with a height of 5 cm and a length of 12 on her computer. the length of the new rectangle is 18 cm. find the height of the new rectangle.

the height of the new rectangle is______cm

Answers

Answer:

[tex]\huge\boxed{7.5 \ \text{cm}}[/tex]

Step-by-step explanation:

When we scale a rectangle, we multiply both the length and the width by the scale factor - or a constant value.

We can use a proportion to see how much to multiply by, where we have [tex]\frac{\text{height}}{\text{length}}[/tex].

[tex]\frac{5}{12} = \frac{x}{18}[/tex]

To solve for this proportion, we can cross multiply to find the value of x.

[tex]18 \cdot 5 = 90\\\\90 \div 12 = 7.5[/tex]

Therefore the height of the new rectangle is 7.5 cm.

Hope this helped!

Helpp me , please !!​

Answers

Answer:

s = -15

Step-by-step explanation:

-12 + (-18) = -30

-30= 2s

-15 = s

-12 + (-18) = 2s

-12 - 18 = 2s

-30 = 2s

2s = -30

s = -15

Elena has 32 hair ties. Melanie has 8 hair ties.
The ratio of Elena’s hair ties to Melanie’s hair ties is
: 1. If, Melanie gets 4 more hair ties, the new ratio of Elena’s hair ties to Melanie’s hair ties is 8 :
.

Answers

Answer:

8:3

Step-by-step explanation:

what makes 3 + 7 + 2 equals box + 2 true

A. 10
B. 14
C. 12

Answers

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

12

f(x) = 3x2 + 6x – 18
Find f(10)

Answers

Answer:

=

(

x

2

+

6

)

(

x

+

3

)

Step-by-step explanation:

[Grouping the first 2 terms together and the 2md 2 terms together.]

x

3

+

3

x

2

+

6

x

+

18

=

(

x

3

+

3

x

2

)

+

(

6

x

+

18

)

[Common factor]

=

x

2

(

x

+

3

)

+

6

(

x

+

3

)

{Taking the common bracket]

=

(

x

2

+

6

)

(

x

+

3

)

~Hope this helps! :)

The answer to the function is 102

First you must set up the equation

[tex]f(10)=3(10)(2)+6(10)-18[/tex]

Then you must multiply

[tex]f(10)=60 +60-18[/tex]

Finally, you must simplify like terms

[tex]f(10)=102[/tex]

the sum of two integers is 9 the product of the integers is 14 what are the integers

Answers

The two Integers are 2 and 7.
The sum of 2 and 7 and 9
The product of 2 and 7 is 14

14. Which of the following statements is incorrect?
A. 1< V2<2
B. 5 < 137 <6
C. 9 <190 < 10
D. 14 < V\10 < 15

Answers

Answer:

D is incorrect this is your answer

1. A number plus 7 is at most 4.​

Answers

Answer:

n + 7 ≤ 4

Step-by-step explanation:

Let's assume n = "a number".

n + 7 = the number plus 7

"at most 4" means "≤4"

Therefore, the answer would be:  n + 7 ≤ 4

unit 1 geaometry basics homework 3
midpoint and formulas (-4,6) and (3,-7)

Answers

Answer: (-1/2, -1/2)

Please mark me as Brainliest

What is 0.85714286 round to the nearest hundred

Answers

Answer:

0.857

Step-by-step explanation:

If HJ =7x-27 , find the value of X
3x-5 x-1

Answers

Answer: -2x+ -1

Step-by-step explanation: Combine Like Terms:

3x+−5x+−1

= (3x+−5x)+(−1)

= −2x+ −1

The fraction 7/9 is equivalent to

Answers

[tex]1 \frac{2}{7} [/tex]

its 9/7 as a mixed number

hope this helps !

caitlyn has $210 in her savings account and she has to pay her parents $5 each month.Santos has $90 dollars and he saves $5 dollars each month. At this rate, when will Caitlyn and Santos have the same amount of money ? How much will they each have?

Answers

Answer:

After about 12 months both Caitlyn and Santos will have the same balance of 150 dollars in their bank account.

Step-by-step explanation:

Caitlyn's saving:  -5x+210

Santos' saving: 5x+90

To know when the total amount in their bank account is the same you would need to make these linear equations equal to one another.

-5x+210 = 5x+90

(Add 5x on both sides)

210=10x+90

(Subtract 90 from both sides)

120=10x

(Simplify)

x=12

After about 12 months their total savings should be the same. To check what their balance will be plug the x value of 12 into both of these equations. This should give 150 as your answer for both equations.

i dont know what is 100x100 is

Answers

Answer:

100x100=10,000

A short and easy trick is to multiply only the first number since the rest are zero. So, multiply 1 and 1: 1 x 1. What do you get? 1, of course. Then, add the rest of the zero's after that. In 100, there are two zero's. In 100, there are two zero's. What is two plus two? Well: 2 + 2 = 4 so, four zero's. After that, add the 4 zero's after the 1. One is extremely important in this problem. 1, one zero, 10, two zero's, 100, three zero's, 1,000, and finally, four zero's, 10,000. So, the trick is to multiply the one by the other one, get 1, and add the zero's in the other numbers. This can work as long as it is something like: 10 x 10, 100 x 100, 1,000 x 1,000, or even beyond. Just remember to add the zero's!

Note: This only works with digits similar to the ones listed below.

Notice that they all have a 1 at the front and zero('s) behind them.

1) 10 x 10

2) 100 x 100

3) 1,000 x 1,000

This can continue to over 100 zero's per digit!

The solution to the expression is A = 10000

Given data ,

Let the expression be represented as A

Now , the value of A is

Let the first number be represented as p

The value of p = 100

Let the second number be represented as q

The value of q = 100

So, A = pq

On simplifying the equation , we get

A = p multiplied by the value of q

And , A = 100 x 100

A = 10000

Therefore , the value of A is 10000

Hence , the expression is A = 10000

To learn more about equations click :

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The price of an item has been reduced by $4.19. The original price was $54.73. What is the price now?

Answers

Answer:

$50.54

Step-by-step explanation:

Which is the simplified form of{9^-9}-3 ?

Answers

Answer:

9^27

Step-by-step explanation:

Use of formula: (a^b)^c = a^(bc)

(9^-9)^-3 =9^ (-9×(-3)) =9^27

Given the equation 3x + 7 = -4, which
property will you do first?
Division Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
Addition Property of Equality

Answers

Answer:

Subtraction Property of Equality

Step-by-step explanation:

you should subtract both side with 7 first.

Eli is driving on a long road trip. He currently has 12 gallons of gas in his car. Each
hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the
tank after driving for 4 hours? How much gas would be left after t hours?

Answers

Answer:

5 gallons would be left

Step-by-step explanation:

Answer:

There would be 5 gallons of gas after 4 hours.

There would be 12 - 1.75t after t hours.

Step-by-step explanation:

1.75 x 4 = 7

12 - 7 = 5

What is 8.865 rounded to the nearest whole number?

Answers

Answer:

9

Step-by-step explanation:

8.865 to the nearest whole number is 9, nine is a whole number because there are no decimals following, and since the number "8" is greater than 5, we round up, which would cause it to be 8.900, so to the nearest whole number, it would be 9.

I need help right away

Answers

Answer:

25

Step-by-step explanation:

Let's solve your equation step-by-step.

x2−25x=0

Step 1: Factor left side of equation.

x(x−25)=0

Step 2: Set factors equal to 0.

x=0 or x−25=0

x=0 or x=25

your answer would be 25 :)
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