A rectangular piece of metal 12 cm long 18 cm wide and 10 cm high is melted and recast into 45 cylindrical plates,each of radius 1.2 cm.Find the thickness of each plate giving your answer correct to 2 decimal places?

Answers

Answer 1

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.


Related Questions

A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.

13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27

How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?

Answers

Answer:

23

Step-by-step explanation:

The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23

What is the Interquartile range?

An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.

The formula to calculate interquartile range is:

IQR = Q₃ - Q₁

where;

Q₃ is third quartile

Q₁ is first quartile

The given points when arranged in increasing order gives us:

13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27

Q₁ is the (n + 1)/4 terms = 3rd term.

Thus; Q₁ = 17

Q₃ is 3(n + 1)/4 term = 9th term.

Thus; Q₃ = 24

Then; IQR = 24 - 17

IQR = 7

The desired interquartile range should decrease by 1 point. Thus;

Desired IQR = 7 - 1 = 6.

To find the score of the 12th game, let us try  23 points as the score of the 12th game:

Thus;

Q₁ = 17.5

Q₃ = 23.5

IQR = 23.5 - 17.5

IQR = 6

Thus, required number of points is 23.

Read more about Interquartile Range at; https://brainly.com/question/3859769

Need Answers Asap I will try to give brainlest if i have it

Answers

Answer:

9. 1,800 m/s

Step-by-step explanation:

450 ÷0.25 = 1800.

*Hope this helps*

Maths homework volumes anyone can help?

Answers

Answer:

1) Volume of cuboid =l * b*h9.7*1.8*2.5=43.65 2a =......

Step-by-step explanation:

look at the diagram .the third is complete and the Instruction says they all have same volume so :2.5 *8*9 = 180.definitely the volume for each of the cuboid is 180. Volume of cubiod = l*b*ha)180 = 4*5*a 180 = 20a180/20 = 20a/20a= 9

b) 180 = 6*6 *b 180 = 36b b= 180/36 b= 5

c) 180= 2.5 *9*c 180 = 22.5 *cc=180/22.5c=8 I don't know 3and 4pls mark me brainlest I need it dearly

What is AC?
А
А
D
5
B

Answers

Alternating current (AC) is an electric current which periodically reverses direction and changes its magnitude continuously with time in contrast to direct current (DC) which flows only in one direction. ... A common source of DC power is a battery cell in a flashlight.

CAN U PLS ANSWER WILL GIVE BRAINLIEST

Answers

Answer: 20 hrs

Step-by-step explanation:


1,000 cm = 0.01 km
Correct or incorrect

Answers

Answer:

Correct

Step-by-step explanation:

Answer:

Correct

Step-by-step explanation:

Hope this helps

find the length of x
urgent pls help.

Answers

4. The two triangle are congruent.

Answer:

Step-by-step explanation:

the triangles are congruent and the factor is 1/2

x=8/2=4

Perfect Parties, a party supplies store, always gets busy around graduation.
Currently, they have 3 orders: one for 500 balloons, one for 275 balloons,
and one for 125 balloons. Each balloon must be tied with a 5-foot-long
ribbon. How many yards of ribbon do they need for their current orders?
yards

Answers

Answer:

They will need 1500 yards of ribbon

help pls ok fast pls

Answers

Answer:

I would say the last one. If its wrong then its definitely option 9y/3

Sorry if its wrong :(

Please help I’m struggling

Answers

ANSWERS:
m=4

m=18

j=38

n=5

hope this helps!

Question 3
The CEO of Hot Tires compares factory production for his two factories using the data in the table shown below.
Factory A Factory B
Production Production
Monday 102
112
Tuesday 106
119
Wednesday 114
105
Thursday 98
96
Friday
101
113
Which inference is valid?
A
Factory B produced more tires than factory A because factory B has a median of 112 and factory A has a median of 102
B
Factory B has less variability in production because the range for factory B is smaller than the range for factory A.
с
Factory A has less variability in production because the range for factory A is greater than the range for factory B.
D
Factory B produced more tires than factory A because factory Bhas a mean of 109 and factory A has a mean of 104.2.

Answers

B I believe if not sorry

Three prime numbers that can be multiplied to get 825

Answers

Answer:

Prime factorization: 825 = 3 × 5 × 5 × 11, which can be written 825 = 3 × 5² × 11.

Step-by-step explanation:

Hope this helps!

Answer: 3, 5, and 11

3 * 5 * 5 * 11

Step-by-step explanation:

Make a factor tree for 825

                                 825

                                  /   \

                                5   165

                                       /   \

                                       5   33

                                            /   \

                                           3    11

Multiply:

2 1/4 x 1 1/2 x 5/3=?

Answers

Answer:

The answer is 48.12, I didn't used calculator

!!!Please help will give the brainliest, and please do not put in a silly answer because you want some points or I will report you!!! What are the properties for each of these shapes and please be specific for each, a kite, trapezoid, square, rectangle, parallelogram, rhombus?

Answers

Answer:

The properties of trapezoid apply by definition (parallel bases).

The legs are congruent by definition.

The lower base angles are congruent.

The upper base angles are congruent.

Any lower base angle is supplementary to any upper base angle.

The diagonals are congruent.The bases are parallel by definition.

Each lower base angle is supplementary to the upper base angle on the same side.

Income East and West of the Mississippi




For a random sample of households in the US, we record annual household income, whether the location is east or west of the Mississippi River, and number of children. We are interested in determining whether there is a difference in average household income between those east of the Mississippi and those west of the Mississippi.



Incorrect answer iconYour answer is incorrect.



(a) State the null and alternative hypotheses. Your answer should be an expression composed of symbols:



Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.



(b) What statistic(s) from the sample would we use to estimate the difference?



Let group 1 be the households east of the Mississippi River and let group 2 be the households west of the Mississippi River.

Answers

Answer:

H0: μ1 = μ2

H1: μ1 ≠ μ2 ;

xbar1 - xbar2

Step-by-step explanation:

The Null hypothesis should state that there is no difference in average household income between those located east and west of the Mississippi

H0: μ1 = μ2

H1: μ1 ≠ μ2

Statistic from the sample that would be used to estimate difference

Statistic refers to the numerical characteristic derived from the sample.

To estimate the difference in the average household income between those located east and west of the Mississippi, we take the sample mean of the two groups

Group 1, East of Mississippi = xbar 1

Group 2, West of Mississippi River = xbar 2

xbar1 - xbar2

Octers on product box
Usplay
and front-firing
speakers

Answers

Answer:

Step-by-step explanation:

A trust me and c

4.8-2/5(w-6)
mathematic equation

Answers

Answer:

[tex] \frac{0.56}{w - 6} [/tex]

Step-by-step explanation:

1) Simplify 4.8 - 2 to 2.8.

[tex] \frac{2.8}{5(w - 6)} [/tex]

2) Simplify.

[tex] \frac{0.56}{w - 6} [/tex]

Therefor, the answer is 0.56/w-6.

Let f be differentiable such that f(-2)=3,f(3)=5, f'(-2)=4 and f'(3)=6. Let g be differentiable functions such that g(x)=f^-1 (x) for all x. What is the value of g'(3)

Answers

Answer:

[tex]g'(3)=\frac{1}{4}[/tex]

Step-by-step explanation:

There is a rule in calculus that tells us that:

[tex]g'[f(x)]=\frac{1}{f'(x)}[/tex]

In this case, we know that f(-2)=3, therefore:

g'(3)=g'(f(-2))

So, if we used the rule, we would get that:

[tex]g'[f(-2)]=\frac{1}{f'(-2)}[/tex]

we know that f'(-2)=4, so:

[tex]g'[f(-2)]=\frac{1}{4}[/tex]

or:

[tex]g'[3]=\frac{1}{4}[/tex]

Find the value of x. Round to the nearest tenth. 9 4 x = [?]​

Answers

Answer:

26.4° (nearest tenth)

Step-by-step explanation:

[tex]\boxed{sinθ = \frac{opp}{hyp} }[/tex]

[tex]sinx = \frac{4}{9} [/tex]

Taking the inverse of sine on both sides:

[tex]x = sin^{ - 1} ( \frac{4}{9} )[/tex]

x= 26.4° (nearest tenth)

estimate the product then find the product​

Answers

Answer:

1 5/6 = 11/6

7 1/3 = 22/3

11/6 + 22/3 = 11/6 + 44/6 = 55/6 ≈ 9.16

1 5/6 = 11/6

11/6 - 1/10

55/30 - 3/30 = 52/30 ≈ 1.73

9.16 x 1.73 = 15.8468

So, 15.8468 is the result.

I hope this is helpful. :)

Please, do me Brainliest!

Write the y-intercept of the graph of -6x + y = 8.

Answers

Answer:

0,8

Step-by-step explanation:

A local theater is selling tickets for a play. Student tickets cost $4.50 and adult tickets cost $7.50 each. The theater can hold at most 800 people and would like to make at least $3000.
Write a system of inequalities

Answers

the question was which combination could they make to get at least $3000

any combination they make if they have 800 people they will always have more than $3000

Solve for t. You must write your answer in fully simplified form.

−19=7t

Answers

Answer:

t=-19/7

Step-by-step explanation:

you need to isolate for t which means you need to get t all alone on one side of the equation. Do do that you can divide both sides by 7. This gives you -19/7=7t/7

we know that anything divided by itself is 1 so we get -19/7=t

This is the simplest for because 19 and 7 are both prime numbers, so you can't simplify them.

t = -19/7

The goal is to get t by itself. To do that you have to divide both sides by 7. The right side’s 7 will cancel.

-19/7 is the simplified form because -19 cannot by divided by 7 in the sense that the answer will be a whole number (it’ll be a decimal or an improper fraction, etc).

When calculating the discriminant if your answer was 16, what does that say about your roots?

Answers

Answer:

Your roots are equal to 16

PLLLZZ HHEELLPPP! QUESTION IS BELOW!

Answers

Answer:

32°

Step-by-step explanation:

The two given angles are complementary, it means they add to 90°

Find x:

2x + 10 + x + 8 = 903x + 18 = 903x = 72x = 24

Find Y:

m∠Y = x + 8 = 24 + 8 = 32°

Solve and show work.

Answers

5+x=5x+2 =7x. 7x8= 56x

The Martinez Family has driven 240 miles so far. Their total trip is 300 miles. What percentage of the trip have they already driven?

Answers

They have driven 80% of their trip.
Work in picture ↓

Find the difference.
(9/4x + 6)-(-5/4x-24)

Answers

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

[tex]9x/4 +30 +5x/5[/tex]

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

WILL MARK BRAINLIEST! Find a Linear Function with the coordinate pairs ( 4 , 250) and ( 12 , 650 )

Answers

Answer: $75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

Answer:

$75.07

Step-by-step explanation:

company sells each pair of shoes for $75.07 in stores. ... W=-650 + 34 ... Solve 1 by using elimination. Express as an ordered pair. +. (2x+y=-12. 5x=0 ... 250. 60. Sam earned $450 during winter vacation. He needs to save $180 for a camping.

for the data in the table, how many data points are in each group for the median-median line

Answers

Answer: left: 5, center: 6, right: 5

Step-by-step explanation:

Answer:

5,5,5

Step-by-step explanation:

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