A company makes steel rods shaped like cylinders. Each rod has a radius of 3 centimeters and a height of 20 centimeters. If the company used 45,781.2 of steel, how many rods did it make?

Answers

Answer 1

Answer:

80 rods of steel.

Step-by-step explanation:

Here is the complete question

A company makes steel rods shaped like cylinders. Each rod has a radius of 3 centimeters and a height of 20 centimeters. If the company used 45,781.2 cm³ of steel, how many rods did it make?

Solution

Since the steel rod is a cylinder whose volume, V = πr²h where r = radius of cylinder = 3 cm and h = height of cylinder = 20 cm.

We substitute these into V to find the volume of one rod.

So, V = πr²h

= π(3 cm)² × 20 cm

= π × 9 cm² × 20 cm

= 180π cm³

= 565.49 cm³

Since 45,781.2 cm³ of steel was used, this total volume of steel, V' equals the number of rods, n times the volume of one rod, V.

So, V' = nV

Making n subject of the formula, we have

n = V'/V

Substituting V' and V into the equation, we have

n = 45,781.2 cm³/565.49 cm³  

n = 80.96

We round n = 80.96 down to 80 since we cannot have a decimal number of rods.

So, n = 80 rods

So, the company made are 80 rods of steel.


Related Questions

Geometry Angle of elevation/depression

Answers

Answer:

m∠ACB = 49.88°

Step-by-step explanation:

From the figure attached,

Measure of wire AC attached to the top 'C' of the building BC = 340 m

Horizontal distance between the base 'B' of the building and point A = 260 m

Angle of depression = ∠ACB

By applying sine rule in the given triangle,

sin(∠ACB) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]

                 = [tex]\frac{AB}{BC}[/tex]

                 = [tex]\frac{260}{340}[/tex]

m∠ACB = [tex]\text{sin}^{-1}(764706)[/tex]

             = 49.88°

Johnson’s Hardware randomly selects 125 of its customers and questions them to determine their overall customer satisfaction rating. The poll indicates 100 were completely satisfied, 15 were satisfied, and 10 were not satisfied at all. What percent of customers were either satisfied or completely satisfied? About how many of the 5000 customers were not satisfied at all?

Answers

Answer:

a. 92%

b. 4425

Step-by-step explanation:

So there are 5000 customers in total, and 100 were completely satisfied, and 15 were satisfied and 10 weren't satisfied a bit. so 100+15 is 115 so 115 people in total were satisfied out of 125 because there were 125, and 115+10 is 125 anyways. So 115/125 is .92, and you can convert that into a percentage, 92% of the 250 customers were satisfied so then 250*5 is 5000, so then just multiply 115 by 5 as well. You get 575. So 575 were satisfied out of the 5000 customers and 5000-575 are the people not satisfied, so 4425.

probably wrong because it doesnt sound right but just try it

12x^2-36x=0 solve for x
solve for x

Answers

Answer:

x = 0 or x = 3

Step-by-step explanation:

This is a quadratic equation, but because the constant term is zero, we can speed up the solution by factoring 12x^2 - 36x = 0:

12(x^2 - 3x) = 0, or

12(x)(x - 3) = 0

Thus, either x = 0 or x = 3

Can someone please help?

Answers

Answer:

Same side interior

Step-by-step explanation:

It is the same side interior

HELP PLEASE 24 POINTS

Answers

Answer:

Option D) the same line.

Step-by-step explanation:

That's your answer. Have a good night.

the answer should be d

32+4 X (16 X 1/2) -2

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Find the value of x. Round to the nearest tenth if needed.

Answers

12^2 + 6^2 = x^2
144 + 36 = x^2
180 = x^2
13.416407865 = x

rounded

x = 13.4

In the figure below, MN | KL and are intersected by transversals ML and KN M 1551 What is the measure of , XMN?
130°
85°
55°
50°​

Answers

Answer:

∠ XMN = 50°

Step-by-step explanation:

∠ XNM and ∠ XKL are alternate angles and are congruent, then

∠ XNM = 35°

The sum of the 3 angles in a triangle = 180° , so

∠ XMN = 180° - (95 + 35)° = 180° - 130° = 50°

5 - 2 (4а + 1) - За - 13 I need help​

Answers

Answer:

-11a - 10

Step-by-step explanation:

simplify in order of terms: -2(4a + 1) - 3a - 13 + 5

simplify: -8a - 2 - 3a - 8

simplify again: -11a - 10

5 - 2 (4a +1) - 3a - 13
5 -8a -2 - 3a - 13
3 - 11a - 13
-10 - 11a

and if you want to solve for a:
-10 - 11a = 0
-11a = 10
a = -10/11

Sampling and Design

In an experiment, _____________ means keeping other variables constant for all experimental units.

Answers

Answer is in a photo. I can't attach it here, but I uploaded it to a file hosting. link below! Good Luck!

cutt.us/tWGpn

what is 30% of $240?​

Answers

Answer:

72

Step-by-step explanation:

.30×240

72

Answer:

$72

Step-by-step explanation

You need to turn a percent into a decimal. To do that, you move the decimal twice to the left so, 30%=.3.Multiply: 240*.3=72$72

Hope this helped!! :)

Stay safe and have a wonderful day/night!!!!!

Brainliest?!?!

Production shows that only 3 of the first 10 phones are working which is 30% of the phones describe how the percentage other working phones changes if the 11th and 12th phone won't work correctly

Answers

Answer:

If you have 10 phones, this is the 100%

then:

10 = 100%

Now we know that only 3 of them work correctly, then the percentage of pones that works correctly can be related to:

3 = X%

To find the value of X%, we can take the quotient of the equations:

3 = X%

and

10 = 100%

We ge:

(3/10) = (X%/100%)

We solve this for X and we get:

(3/10)*100% = X% = 30%

As we already know.

Now let's see how this percentage changes if we add more phones that do not work correctly.

Now we add another phone that does not work, so we have a total of 11 phones and 3 of them work.

then:

3 = X%

11 = 100%

The quotient is:

(3/11) = (X%/100%)

(3/11)*100% = X% = 27.3%

If we add another phone, now we have 12 phones and only 3 of them works, then 12 is the 100%, and we have the equations:

3 = X%

12 = 100%

Then we get:

(3/12) = X%/100&

(3/12)*100% = X% = 25%

if kokichi was in aot would he roast the heck out of the titans and burn them to death?

Answers

Answer: yes

Step-by-step explanation:

Answer: Hell yeah he would

Short King ✋

A store sells 24 greeting cards for $12. Select the three unit rates that describe this sale. CLEAR CHECK 2 cards per dollar $0.50 per card 10 cards per $5 $6 per dozen cards

Answers

Answer:

2 cards per dollar

$0.50 per card

$6 per dozen cards

Step-by-step explanation:

The unit rate of greeting if a store sells 24 greeting cards for $12 is $0.5, so option $0.50 per card is correct.

What is Unit rate?

Unit rate means the amount of rate for the unit quantity of some things, for example, if you buy 1 kg apple for $2 then the unit rate of apple is $2.

Given:

The selling price of 24 greetings =$12,

The unit rate, of a greeting, is =  The selling price of 24 greetings / no of greetings

The unit rate = 12 / 24

The unit rate = $0.5

Therefore, the unit rate of greeting if a store sells 24 greeting cards for $12 is $0.5.

To know more about Unit Rate:

brainly.com/question/11258929

#SPJ5

203/4108 as a percent
a. 4.94%
b. 20.24%
c. 0.049%
d. 49.42%

Answers

4.94% is the correct one.

I WILL GIVE BRAINLEST TO FIRST ANSWER!! DUE 20 MINUTES!!
Which expression is equivalent to 1-1/4+2/5
a, b, c, or d?

Answers

Answer:

D

Step-by-step explanation:

1 - 1/4 + 2/5 = 23/20

20/20 - 5/20 = 15/20

15/20 + 8/20 = 23/20

hope this helps! :)

find the value of given expression

[tex] \sqrt{29 - 4} [/tex]

Answers

So 29-4 =25... which is a perfect square

Answer= +/- 5

Answer:

5

Step-by-step explanation:

[tex] \sqrt{29 - 4} \\ = \sqrt{25} \\ = 5[/tex]

Find the explicit rule: 2, 6, 18, 54, 162

Answers

Multiply each number by 3.

2 (x 3) is 6. 6 x 3 is 18, 18 x 3 is 54, 54 x 3 is 162.

Hope this helps!

Answer:

f(n) = 2 × [tex]3^{n-1}[/tex]

Step-by-step explanation:

In order to write an explicit rule for a geometric function, you need to know the common ratio; you can find the common ratio by dividing two consecutive terms:

6 ÷ 2 = 3, 18 ÷ 6 = 3, 54 ÷ 18 = 3, etc..

Now you know the common ratio is 3. At this point you can write your explicit function following the rule f(n) = [1st term] × [common ratio]^(n-1):

f(n) = 2 × 3^(n-1)

There are 16 cars for every 9 trucks in a parking lot. If there are 72 trucks in total in the parking lot. How many cars are there?

Answers

the answer would be 128 cars. because if u divide 72 by 9 (u do this to see how much the number of trucks increased) which is 8. then u multiply 16 by 8 (the number that the amount of trucks was increased by) to get 128. i hope this helped!!
The answer would be 16•8=128.

6x + 18=3y Rewrite into y=mx+b form
(Please show steps)

Answers

Answer: y = 2x + 6

Explanation:

Divide the left side by 3 to get y by itself

Help me please I need help

Answers

Answer:

a=11

Step-by-step explanation:

hold on our servers are swamped

2.2.2 A woman has a mass of 350lb. what is the mass in kg?​

Answers

Answer:

158.757

Step-by-step explanation:

look it up

Answer:

Step-by-step explanation:

1 kg = 2.205 lb

350 lb × (1 kg)/(2.205 lb) = 157.8 kg

To build a garden bed, James bought 36 feet of wood. If he makes the length of the garden 10 feet, what will the width be?

Answers

10*2 = 20

36 - 20 = 16

16 / 2 = 8

Answer is 8

Okay last question, please someone help me !

Answers

Answer:

hey mate!!

Step-by-step explanation:

-28 is the answer

Answer:

-28

Step-by-step explanation:

Someone help and please make sure it’s right

Answers

A is the answer. Hope you finish the assignment

Answer:

20°

Step-by-step explanation:

Look at the attached photo.

∠a and ∠e are equal because they are vertical angles.

So, m∠a = 110°

Then, ∠f is an exterior angle to angles a and c. So,

m∠f = m∠a + m∠c

Substitute and solve.

130 = 110 + m∠c

m∠c = 20°

Then, ∠c and ∠d are vertical angles so they are equal.

m∠c = m∠d

m∠d = 20°

I hope this helps! Feel free to ask any questions!

i need help what is 2 and 7/8 + 2 and 7/8 + 2 and 7/8 =
i dont know i need help

Answers

Answer:

8 and 5/8

Step-by-step explanation:

calculator

Answer:

8.625

Step-by-step explanation:

hope this helps  :)

The probability of rolling an odd number with a six-sided number cube is 1/2 Choose the likelihood that best describes the probability of this event.
O A. Unlikely
O B. Likely
O C. Certain
O D. Neither likely nor unlikely​

Answers

Answer:

D. Neither likely not unlikely

Step-by-step explanation:

APX approved

Answer:

D

Step-by-step explanation:

A scooter costs $160. A bicycle costs 20% more than the scooter. How much does the bicycle cost? ?​

Answers

Answer:

$192

Step-by-step explanation:

160 = 100% or 1.00

20% = 0.2 + 1.00

       =  1.20

160 x 1.20 = $192

Answer:

$192

Step-by-step explanation:

$160 + 20% = $192

pls help on my homework. due tonight
i need help asap
Match the given graphs with the corresponding functions in the table below. Use the letter in the
bottom left corner of the graph.

b) Given the function ff(xx) = llllll3(xx + 2) − 1, state the following characteristics:

Asymptote:__________________ End Behavior: _______________________________________
_______________________________________

c) Describe what an asymptote is, and write the end behavior in your words.

Answers

Answer:

A line that a curve approaches as it heads towards infinity

The asymptote is -2 there is no end behavior

Step-by-step explanation:

Calculate the length of the unknown side of each triangle.
a)
3 cm
5 cm
Give your answers to the nearest mm.

Answers

Answer:

5.8cm or 58mm

Step-by-step explanation:

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