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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.

Answer:

1 - 7

3 - 11

5 - 15

Step-by-step explanation:

pls brainliest

Answer:

-.54*8

And we get: -4.32

Step-by-step explanation:

Answer:

Using the Pythagorean Theorem we can see that:

[tex]9^2+40^2=1681\\\sqrt{1681}=41[/tex]

Thus, x is 41.

Answer:

Measure of angle G is 68°.

Step-by-step explanation:

In triangle EFG,

Measure of angle E = 97°

Measure of angle F = 15°

By the triangle sum theorem,

Sum of measures of all interior angles of triangle = 180°

m(∠E) + m(∠F) + m(∠G) = 180°

97° + 15° + m(∠G) = 180°

m(∠G) = 180° - 112°

           = 68°

Therefore, measure of angle G is 68°.

Answer:

14km

Step-by-step explanation:

1 cm = 3.5km

4 cm = 3.5km * (4*1cm)

4 cm = 14 km

Answer:

no enough info

Step-by-step explanation:

Answer:

36%

Step-by-step explanation:

Answer:

Step-by-step explanation:

B   no b/c  7 miles is 12,320 yds and 40 times around route is only 9600 yds... keep running cyrus.. :P  

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(5-5)/(-4-2)

m=0/-6

m=0

Answer:

≈ £ 4584.38

Step-by-step explanation:

Firstly, we need to find the number of litres that Mr. Leonard needs to fill up his tank:

We know that there is already 450 litres in the 1200 litre tank, so he must need 1200 - 450 = 750 litres.

I'm not quite sure what the variable p means, but I'm going to assume that p represents the number of litres and that 81.5 is the price per litre in pounds.

So:

Total price = 81.5p

Total price = 81.5(750)

Total price = £61125

We have to remember though that the question is asking for the discount and not the discounted price, so:

61125 × 7.5%

61125 × 0.075 = 4584.375

≈ £ 4584.38

the answer is 5/10 units

Answer:

25 cubic feet

Step-by-step explanation:

You need to convert all units to feet and then multiply the dimensions.

24 inches is 2 feet

30 inches is 2.5 feet

So, you would multiply 5X2X2.5= 25.

Answer:

6.50

Step-by-step explanation:

Is it

Answer:

x^2=25

x=5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

here's your solution

=> x^2 + 5 = 30

=> take constant to right side

=> x^2 = 30 - 5

=> x^2 = 25

=> now take square to right side it will be

converted into root

=> x = √25

=> x = 5

hope it helps

Answer:

-15 and -2

Step-by-step explanation:

Since a negative times a negative equals a positive, but when added, still stays a negative, the factors must both be negative.

Negative Factors of 30:

-30 + -1 = -31

-15 + -2 = -17

-10 + -3 = -13

-6 + -5 = -11

The two factors of 30 that add up to -17 are -15 and -2.

Hope this helps. Have a nice day.

Answer:

C) add 5 to each sides.

Step-by-step explanation:

1) Add 5 to both sides.

[tex]15 + 5 = y[/tex]

2) Simplify 15 + 5 to 20.

[tex]20 = y[/tex]

3) Switch sides.

[tex]y = 20[/tex]

You need to add 5 to each sides in order to solve this equation. if you do, you'll get an answer of 20.

Answer:

Step-by-step explanation:

area of rectangle = length × breadth

area of rectangle = 4 × 2

area of rectangle = 8m²

area of Triangle = 1/2 × base × height

area of Triangle = 1/2 × 4 × 3

area of Triangle = 6m²

Total area = 8 + 6

Total area = 14m²

Answer:

a

Step-by-step explanation:

a

Answer:

The answer to no. 3 is 3

Step-by-step explanation:

No 3 is 3 x^9/2

Answer:

21

Step-by-step explanation:

sum of all numbers is 10×14=140

add the 6no=107

sum of3 no is 3×4=12

107+12=119

140-119=21

m=21

Answer: 72

Step-by-step explanation:

Answer:

72

Step-by-step explanation:

Circumference of a circle = 2πr

Area of a circle: πr^2

Plug in:

C = 2πr

30.1 = 2(3.14)r

30.1 = 6.28r

r = 4.79 (Dividing both sides by 6.28)

Use area of the circle:

A = 3.14(4.79)^2

= 72.044474

Round to nearest whole number = 72

Answer:

16

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

h ( j + i )- k(5) + h

3 ( 2 + 4 )- 1(5) + 3

After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

6 + 12 - 1(5) + 3

Then you just follow PEMDAS to solve for the rest

6 + 12 - 5 + 3

18 - 5 + 3

13 + 3

16

Answer:

16.75 cm

Step-by-step explanation:

The circumference of the circle is πd

The diameter is 16, so the circumference is 16π.

The minute hand goes for 20 min between 3:12 and 3:32

20 min is 1/3 of 60 min.  

Therefore, the minute hand swept 1/3 of the circumference, or 1/3(16)π

1/3(16)π = 1/3(16)(3.14) = 16.75 cm

Answer:

x therefore will be equal to 4

Answer:

Step-by-step explanation:

When x = 1

1x + 3x

= 1 + 3 * 1

= 4

Answer:

Step-by-step explanation:

First page = 2 x 4.5 x 3 = 27 square feet.

Second page = 15 x 20 x 9 x 2 = 5400 cubic cmm

Third page = I'm sorry, I'm not really sure.

Fourth page = 52.5 cubic meters

Fifth page = I'm sorry, I'm not too sure...

Hope that helps!

Answer:

1 1/2 cuups of flour

Step-by-step explanation: