A cylinder has a base with a radius of 7 cm and a volume of 615.44 cm3. Use 3.14 for π . Write and solve an equation to find the height of the cylinder.

Answers

Answer 1

Answer:

The height is 4 cm

Step-by-step explanation:

V = (pie) x radius² x height

615.44 cm³ = (3.14) x 7² x h

h = 615.44 cm³/(3.14 x 49)

h = 615.44 cm³/153.86

h = 4 cm²


Related Questions

A circle has a radius of 10 cm. Student tried to find the area of a sector in the circle where the radii formed a 60° angle. Explain two errors the student made.

Answers

Answer:

First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.

Step-by-step explanation:

Answer:

Sample response: First the student used the formula for circumference instead of area. Then, the student should have written 60/360, not 60/100, because there are 360 degrees in a circle.

Step-by-step explanation: Have a nice day<3

Kyree paid $10 for a pizza he now has $46.how much money did he have before buying the pizza ??

Answers

46 + 10 = 56

He had $56

Answer:

56 Dollars

Step-by-step explanation:

iIf you add the two 10 plus 46 you will get 56 Subtract 10 you will get 46. It might not make sense a little but this is always how id my math.

What is the inverse (opposite) of subtraction?

Answers

Answer: Addition I think

To find the sales tax on an item, ​divide​ the price of the item by 20.
a. Write an algebraic expression to find the sales tax on an item that costs ​d ​dollars.

b. Use your expression to find the sales tax on a television that costs $800.

Answers

Answer:

1) d/20,

2) 40

Step-by-step explanation:

the first question just wants you to divide d/20. If a television costs $800, divide it by 20, and get 40

The local pizzeria is charging $12.50 for a medium pizza with no toppings. Each topping costs $1.20 each. The variable, P, to represent the price and the variable, t, to represent the number of toppings. Which of the following models is correct?

a) P = 12.50t + 1.20

b) P = 1.20t + 12.50

c) t = 12.50P + 1.20

d) t = 1.20P + 12.50

Answers

Answer:

B is the correct answer!

Answer:

im thinking B

Step-by-step explanation:

Which system of equations is best represented by the graph?

Answers

Answer:

it's the first one

Step-by-step explanation:

since all of them go up to 8 on the graph it

the graph represents it going down since the first one is the only one to go down that one represents the graph precisely.

What is the end behavior of f(x) =log3 (x+7) -1?

Answers

Answer:x=-4

Step-by-step explanation:

Pls help me if your great at math I’ll mark brainliest <3 (if correct)

Answers

Answer:

I believe it's B

Hope this helped<3

Which is a quadratic function?

Answers

Answer:

it has two zeroes

it is of the form ax^2+bx+ c

thats all

Step-by-step explanation:

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. ... A parabola intersects its axis of symmetry at a point called the vertex of the parabola.

Which equation is represented by the graph below?
5
4+
3+
2+
t
5 4 3 -2 -11
+ +
4 5
1
2.
3
3
-27
-3+
T 17

Answers

Answer 1               8      

Step-by-step explanation:

[tex]y = \frac{1}{2} e^{x}[/tex]  equation is represented by the given graph.

What is graph?

"Graph is defined as the representation of relation between two variables on the coordinate plane."

According to the question,

From the observation of the graph,

for x= 0

y- intercept = [tex]\frac{1}{2}[/tex]

a.  [tex]y = \frac{1}{8} e^{x}[/tex]

Substitute x = 0 in the equation we get,

[tex]y = \frac{1}{8} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{8}[/tex]

Therefore,

Option (a) is not the correct answer.

b. [tex]y = \frac{1}{2} e^{x}[/tex]

Substitute x = 0  in the equation we get,

[tex]y = \frac{1}{2} e^{0}[/tex]  

⇒ [tex]y = \frac{1}{2}[/tex]

which is same as graph value.

Hence, Option (b) is  the correct answer.

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Use the polygon below to find the value of x.

Answers

Answer : 1.6
Explanation : you add all of the x value and constant values and then divide x by the constant value

answer both and i will give brianlist

Answers

Answer:

1. Perpendicular

2. y=5x+7

Step-by-step explanation:

brainliest please?

What is the Vertex?

y = x² - 8x-1

Answers

Answer:

The vertex is (4,-17)

Step-by-step explanation:

Vertex is (4,-17) hope this helps!

Please help with this question it is 60% of my grade.

Answers

Answer: b

Step-by-step explanation:

you start with 0 min- equals 24

1 min- 21

2 min- 18

3 min- 15

4 min- 12

5 min- 9

and so on- you look for the table that best describes that. x represents the minutes, and y represent the amount of water left in the sink.

Answer:

B

Step-by-step explanation:

After the first minute it should be at 21, because it would be reduced by 3. Second, the same. ETC

What is the value of x in the diagram below?

Answers

I think it’s 11. Sorry if it’s wrong

Find the distance between the two points rounding to the nearest tenth (if necessary).

(−1,−2) and (5,2)

Answers

Answer:

7.2 units

Step-by-step explanation:

To find the distance between these two points, we want to use the distance formula: d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the given values of (-1, -2) & (5, 2)

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(5 - (-1))² + (2 - (-2))²]

Simplify the parentheses.

d = √[(5 + 1)² + (2 + 2)²]

d = √[(6)² + (4)²]

Simplify the exponents.

d = √[36 + 16]

Add.

d = √[52]

Evaluate the radical.

2√13 or 7.2111

Round the decimal.

7.2 units

Hope this helps!

Someone please help me

Answers

Answer:

6

Step-by-step explanation:

The purple shape is dilated by a scale factor of 6.

Hope it helps and is correct!!!

can someone help please?

Answers

CCCCCCCCCCCCCCCCCCCCCCCCCCCCC

You invest $7000 in an account bearing 5% interest for ten years. A. How much will the account be worth if compounded quarterly? What about monthly? Daily? B. What do you notice about the amount of additional money you make as the frequency of compounding increases?

Answers

Answer:quarterly, monthly, daily

Step-by-step explanation:

quarterly: y=7000 (1+.05/4)'10(4)     answer y=11,505.34

monthly: y=7000 (1+.05/12)'10(12)    answer y=11,529.07

daily: y=7000 (1+.05/365)'10(365)    answer y=11,540.65

What do you notice about the amount of additional money you make as the frequency of compounding increases? The account is worth more

The account will be worth approximately $11,505 if compounded quarterly.

The account will also be worth approximately $11,540 if compounded daily.

A. Compounded quarterly:

n = 4 (quarterly compounding)

A = 7000(1 + 0.05/4[tex])^{(4)(10)[/tex]

A ≈ 7000(1.0125)⁴⁰

A ≈ 7000 x 1.643619463

A ≈ 11505.34

The account will be worth approximately $11,505 if compounded quarterly.

B. Compounded monthly:

n = 12 (monthly compounding)

A = 7000(1 + 0.05/12[tex])^{(12)(10)[/tex]

A ≈ 7000(1.00416666667)^(120)

A ≈ 7000 x 1.6487212707

A ≈ 11540.05

The account will be worth approximately $11,540 if compounded monthly.

C. Compounded daily:

n = 365 (daily compounding)

A = 7000(1 + 0.05/365)^(365*10)

A ≈ 7000(1.0001369863)^(3650)

A ≈ 7000 * 1.6487212707

A ≈ 11540.05

The account will also be worth approximately $11,540 if compounded daily.

B. As the frequency of compounding increases, the additional money earned (compared to simple interest) becomes more significant. In this case, regardless of whether the interest is compounded quarterly, monthly, or daily, the resulting values are very close to each other.

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write each expression in simplest form



12c - c =

Answers

Answer:

11c

Step-by-step explanation:

12c-c=11c

It would look like this without the variable (just to make it easier to understand)

12-1=11

A clothing store offers a 30% discount on all items at the store. If the original price of a sweater is $40, how much will you pay for the sweater at the discounted price?

Answers

Answer:

x=1

Step-by-step explanation:

30% = .30 or .3

$40(.3)= 12

$12 is how much money you saved. So now just subtract 40-12.

$40-12= $28

The sweater will cost $28 dollars at discounted price.

Dillon peeled 40 pounds of potatoes. How many ounces of potatoes did Dillon peel?

Answers

Answer:

640

Step-by-step explanation:

40 pounds = 640 ounces

The ounces of potatoes that Dillon peeled is 640 ounces.

What is Unit Conversion?

Unit conversion is defined as expressing the same quantity by different measurement units.

For example, a distance of 20 meter can be also expressed as 2000 cm. The distance is same.

Given that,

Amount of potatoes that Dillon peeled = 40 pounds

We have to convert the same amount of potatoes in to the measurement unit of ounces.

We have to convert the unit.

We have the measurement unit that,

1 pound = 16 ounces

40 pounds = 40 × 16 = 640 ounces

Hence 640 ounces of potatoes did Dillon peel.

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Lin runs 5 laps around a track in 6 minutes.

How many minutes per lap is that? Show work

Answers

6/5=1.2 one minute and twenty seconds per lap

Which point represents 2 3/4 on the number line?

Answers

Answer:

e

Step-by-step explanation:

The answer im thinking is E

please help
Due really soon

Answers

Answer:

i believe that would be B

How many square feet of outdoor carpet will we need for this hole? ​

Answers

Answer:

42 sq ft

Step-by-step explanation:

First, I will do the small triangle on the right.

2 x 3 = 6

6/2 = 3 sq ft

Next the large rectangle.

11 x 3 = 33 sq ft

Next the large triangle on the left.

3 x (11-7)

3 x 4 = 12

12/2 = 6 sq ft

Add them all together.

6 + 33 + 3 = 42

sorry if im wrong <3

A farmer sells 9.4 kilograms of pears and apples at the farmer's market. 2 5 of this weight is pears, and the rest is apples. How many kilograms of apples did she sell at the farmer's market?

Answers

Answer: 6.9 kg

Step-by-step explanation:

Given

The combined weight of apple and pears is 9.4 kg

If pears weigh 2.5 kg

The weight of apples is the subtraction of pears weight from the total

[tex]\Rightarrow 9.4-2.5=6.9\ kg[/tex]

Thus, the farmer sells 6.9 kg of apples

1. Simplify:
50r2-20r
- 10r
A. -5r + 2
B. -5r-2
C. 5r2 +2

Answers

Answer:50r2−30r

Step-by-step explanation:

got it of the web.

Please Help These two!
Thank you

Answers

Answer:

7. there are 30 pounds per box

8. $1.89 per notebook

Step-by-step explanation:

The graphs of functions f and g are shown. Which statements are evidence that function g is the inverse of function f?

Answers

Answer:

It is C and D

Step-by-step explanation:

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