A cylinder has a height of 11 meters and a volume of approximately 1243 cubic feet. What is the height of a cone with the same volume and radius as the cylinder?

Answers

Answer 1

Answer:

Step-by-step explanation:

Comment

There is a short cut to this and we might just as well use it. Start by writing the general formulas for the volume of a cylinder and the volume of the cone

Equation

V_cylinder = pi * r^2 * h

V_Cone = (1/3) pi * r^2 * h1

Solution

The volumes are equal, so the right sides must be equal as well

pi * r^2  *  h = (1/3)*pi * r^2 * h1         Divide both sides by pi

r^2 * h = (1/3) * r^2 * h1                      Divide both sides by r^2

h = (1/3) * h1                                       Multiply both sides by 3

3*h = h1                                             h = 11 (given)

3*11 = h1

33 = h1

Answer: the cone's height = 33 meters.


Related Questions

The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.

Please help, thank you!

Answers

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

Find the slope of the line that passes through the following points: (1,0)
and (6,-3). (Show your work.)

Answers

Answer

-3/5

Step-by-step explanation:

to find this you have to use the equation y1 - y2 / x1 - x2

so first write -3 - 0 (or 0 - - 3) over 6 - 1

it looks like -3/5

A semicircle is drawn onto one of the shorter sides of a rectangle. The shorter side of the rectangle measures 4 centimeters. The area of the figure is 41. 4 square centimeters. What is the length of the longer side of the rectangle?Use 3. 14 for π. Enter your answer as decimal in the box

Answers

The length of the longer side of the rectangle is 8.78cm

Area of composite figure

The formula for calculating the area of a rectangle is expressed as:

A = lw

For a semicircle;

A = πr²/2

r is the radius

Area of the figure = lw + πr²/2

Substitute the given paramters

41.4 = 4w +  π(2)²/2

41.4 = 4w + 6.28
4w = 41.4 - 6.28

4w = 35.12

w = 35.12/4

w=  8.78 cm

Hence the length of the longer side of the rectangle is 8.78cm

Learn more on area of composite figure here: https://brainly.com/question/21135654

math answer? can someone help?

Answers

Answer:

I think the answer is "A"

Which is the estimate of 398 x 1.9?

Answers

Answer:

800

Step-by-step explanation:

When we say estimate, we must estimate the 2 numbers to their closest answer:

398- 400 when rounded to the nearest 100

1.9- 2 when rounded to the nearest whole number

So we get the estimate equation as: 400×2= 800

Solution:

We know that:

[tex]\tex\text{398 can be rounded to 400, as 398 is close to 400.}[/tex][tex]\tex\text{1.9 can be rounded to 2, as 1.9 is close to 2.}[/tex]

This means that:

[tex]398 \times 1.9[/tex] ≈ [tex]400 \times 2[/tex]

Simplifying "400 x 2"

[tex]400 \times 2[/tex] [tex]= 800[/tex]

Thus, the estimate of 398 x 1.9 is about 800.

WHAT IS THE MEAN MEDIAN MODE?

Answers

Answer:

the mean is the average of a set of data the mode is the most frequent number that occurs in a set of data, and the median is the number in the middle of the set of data

Step-by-step explanation:

What is the answer ?5(y+2/5)=-13

Answers

Answer:

y=-3

Step-by-step explanation:

5(y+2/5)=-13

5y+2=-13

5y=-15

y=-3

Write an expression to represent the perimeter of Melissa’s garden in terms of x.

Type the correct answer in each box. Use numerals instead of words.

Answers

As no diagrams attached provided the formulas which can helps you to solve by yourself

Square--4(side)Rectangle--2(Length+Breadth)Triangle--(Sum of 3 sides)Any quadrilateral--(sum of 4 sides)

The expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

Perimeter of a rectangle

The formula for calculating the perimeter of a rectangle is given as

P = 2(x+ y)

where;

x = 3x + 2

y = x + 5

Substitute

P = 2(3x + 2 + x + 5)

P = 2(4x + 7)
P = 8x + 14

Hence the expression to represent the perimeter of Melissa’s garden in terms of x is P = 8x + 14

Learn more on perimeter of rectangle here: https://brainly.com/question/19819849

#SPJ6

please helppppppppppp

Answers

Answer:

x=√-5

Step-by-step explanation:

8-3x=√(4x^2+20)+8

-8                          -8

-3x^2=√(4x^2+20)^2

-3x^2=4x^2+20

-4x^2=20

divide both sides by -4

x^2=-5

√(x^2)=√-5

x=√-5

is 14.624777961 rational or irrational

Answers

Step-by-step explanation:

Rational number because it's terminating

Nicholas has a collection of books. He has 115 fantasy and science fiction books. These books are 46℅ of his collection. How many books does he have in his collection?

-- pls explain!!!

Answers

Answer:

46% of 115 gives 52.9 because it is the total of books that is not given

Please answer this friends ?

Answers

Answer: Rs. 6075

40500×(15/100)= 6075

Step-by-step explanation:

find the lateral area of the figure geometry

Answers

Answer:

A) 420 in²

Step-by-step explanation:

The lateral surface area excludes the area of top and bottom faces.

Given is the right pentagonal prism with side length of 7 in and height of 12 in.

The lateral area is:

L = Ph = 5*7*12 = 420 in²

Correct choice is A

I need HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

no calculator or Excel sheet ?

(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25

((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8

(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6

(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27

(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4

remember 2 things :

1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).

2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.

a / 1/b = a × b/1 = a × b

the distance covered by a spider is 5 km in 6 hours. What is its speed?

Answers

Answer:

0.83km/h

Step-by-step explanation:

v (velocity/speed) = d (distance)/t (time)

v = 5km/6h

v = 0.83km/h

For a new hobby, Leo purchases a vintage camera for $475. Leo pays $5.99 for each roll he gets developed. Calculate how much Leo’s new hobby is costing him based on the number of film rolls he needs to develop.

Answers

Answer:

A = 5.99x + 475

Step-by-step explanation:

In the equation I wrote, x is equal to the number of film rolls he needs to develop. You just put that number in for x and solve the equation. That will give you the amount of money Leo spends on his new hobby.

4s^3 when s=2


plsss help

Answers

Answer:

32

Step-by-step explanation:

=> 4s[tex]{}^{3} [/tex]

=> 4(2)[tex]{}^{3} [/tex]

=> 4(2×2×2)

=> 4(8)

=> 32

How do i figure out the degrees?

Answers

Answer:

  41°

Step-by-step explanation:

This problem involving the Law of Cosines has been mostly worked for you. The value of the cosine is the solution to the remaining one-step linear equation. The inverse cosine function (cos⁻¹ or arccos) is used to find the angle from the value of the cosine.

  -1125 = -1500·cos(A)

  cos(A) = -1125/-1500 = 3/4 . . . . . divide by -1500 (this is the one step)

  A = arccos(3/4) ≈ 41.4096°

The angle formed by the lines to the lampposts is about 41°.

__

Additional comment

If you find the angle using the ACOS( ) function of a spreadsheet, you will always get the result in radians. Most calculators offer the choice of units for angles, so be sure you set the mode appropriately.

In the calculator screenshot, there is a decimal point in the fraction to force the angle result to be displayed as a numerical value. Otherwise, this calculator shows cos⁻¹(3/4), which isn't terribly helpful.

Naelly is taking a class trip to Washington DC. The cost of the trip is $459. 60. Naelly paid an initial deposit of $150, and must make the remainder of the payments in 12 equal monthly payments. What is the amount of each monthly payment in dollars and cents?

Answers

459.6 - 150 = 309.6

309.6 / 12 = $25.80 a month for 12 months

I have a test tomorrow! I am trying to study. I have no clue what the difference between scale and scale factor is! How do you find them? I have to know in 20 min. Please HELP!!!

Answers

Answer:

they are similar

Step-by-step explanation:

a scale is a normal number scale while a scale factor is a scale but instead of normal numbers it uses factors

Let's see

Scale usually denotes unit rate or a numerical value change mentioned above graphs

1in=3ft.1cm=1m

Scale factor is same but it uses factors .

like

1/32/5

8. Evie buys colored
Pencils for $3.79
markers for $5.80, and
paper for $2,57, She
Pays 6.25% Sales tax.
How much does she
spend total?

Answers

12.16+0.76=12.92
Pay 12.92 in total

The temperature outside changed from 94°F to 46°F over a period of eight days. If the temperature changed by the same amount each day, what was the daily temperature change?

Answers

Answer:

6°F

Step-by-step explanation:

First, subtract 46 from 94 (94-46) and you will get 48.

Then, divide 48÷8 (because the time period is 8 days) and you will get 6.

Therefore, the daily temperature change is 6°F.

3. Find the geometric mean of 4 and 10. (1 point) A. 20 B. 7 C. SQ root of 14 D. 2x SQ root of 10​

Answers

Answer:

[tex]2\sqrt10[/tex]

6.3 to the nearest 10th

Step-by-step explanation:

Hope this helped :)

5x+3=x+11

x=?

(step by step, I am very not smart)

Answers

Answer:

x=2

Step-by-step explanation:

5x+3=x+11

5(2)+3=2+11

10+3 = 2+11

13=13

Therefore, x=2

(basically you just plug in random numbers and see if it gets you the same answer on both sides)

Hope this helps!!

What are the values of the variables in the triangle below?

Answers

Answer:

D) x=9 ; y=3√(3)

Step-by-step explanation:

[tex]Sin(30)=\cfrac{y}{6\sqrt{3} }[/tex]

[tex]\cfrac{18y}{6\sqrt{3}}=18\sin \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}y=9[/tex]

[tex]\cfrac{\sqrt{3}y}{\sqrt{3}}=\cfrac{9}{\sqrt{3}}[/tex]

[tex]y=3\sqrt{3}[/tex]

~

[tex]Cos(30)=\cfrac{x}{6\sqrt{3} }[/tex]

[tex]\cfrac{18x}{6\sqrt{3}}=18\cos \left(30^{\circ \:}\right)[/tex]

[tex]\sqrt{3}x=9\sqrt{3}[/tex]

[tex]\cfrac{\sqrt{3}x}{\sqrt{3}}=\cfrac{9\sqrt{3}}{\sqrt{3}}[/tex]

[tex]x=9[/tex]

Therefore, x=9 and y=3√(3)

~

Downtown it snowed 1/10 of an inch inthe morning and 3/10 of an inch in the evening. How much more snow fell in the evening than in the morning?

Answers

Answer:

2/10

Step-by-step explanation:

Keep the bases the same so we are dealing with 3 - 1 so we get 2. 2/10 of snow falls in the evening than in the morning.

Have an amazing day!

PLEASE RATE!!!

Solve for X (simplify your answer)​

Answers

Answer:

x is given as -1.5. Substitute to confirm

Which of the following expressions are equivalent to 4^-3/4^-8? Check all that apply.
4^8/4^3
4^-8/4^-3
4^-5
4^5

Answers

Answer: 4^5

Step-by-step explanation:

4^5. when you divide exponents you just subtract them, so -3-(-8) is 5.

Kevin plants a total of 72 flowers in equal rows. He plants 6 rows of yellow flowers and 2 rows of red flowers. How many flowers are in each row.

Answers

Answer:

72 +6+2 equal80

Step-by-step explanation:

have to pluse all

Tyshaun buys music online. Each song costs $2 plus a $5 fee for using the artist’s site. He has no more than $40 to spend. Which inequality shows the number of songs, s, Tyshaun can purchase?

Answers

Answer:

I dont see options, but the answer should be: X(2+5)≤40

Step-by-step explanation:

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