the following cylinder has a volume of 55pi cubic units and a height of 5 units. the cone has the same base area and height, and it has a slant height of 6 units. what is the volume of the cone?

Answers

Answer 1

Question:A cone and a cylinder have the same base area. They also have the same curved surface area. If the height of the cylinder is 3m, then the slant height of the cone (in m) is

Answer:

Given the radius of cylinder and cone are the same because there base areas are same.

Curved surface of cylinder = curved surface area of the cone

∴2πrh=πrl

∴l=2h

Given, height of cylinder =3 cm

Therefore, slant height of cone =6 cm

Answer 2

The volume of the cone is 22π.

How to calculate the volume?

Volume of a cylinder = πr²h

55π = πr²(5)

55π = 5πr²

r² = 55π/5π

r² = ✓11

r = 3.3

The volume of the cone will be:

= 1/3πr²h

= 1/3 × π × 3.3² × 6

= 1/3 × 11 × 6 × π

= 22π

Learn more about cone on:

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Related Questions

Select all of the true statements.
A. 4.8 + (-8.9) = -13.7
B. 12+(-3) = -9
C. -9.-0.1 = 90
D. -4+ 4 =

Answers

Answer:

D

Step-by-step explanation:

-4+4=0 which is correct

4.8-8.9=-4.1 wrong

12-3=-9 wrong

-9-0.1=90 wrong

Kyle is saving money for a new pair of skis. He already has $50 in his savings account and deposits $20 every week.

Write an equation in slope-intercept form to represent the situation.

Answers

Answer: y = 50 x + 25

Step-by-step explanation:

A new law requires that 5% of an individual's income to be invested in the stock market. Your accounts show that you need to put $430 in the stock market this year. How much did you earn this year

Answers

Divide the amount you need to invest by the percentage.

430/0.05 = 8,600

You earned $8,600

Rewrite the following equation in slope-intercept form. y +3 = 1/4 (x − 4 )

Answers

Answer:

y = 1/4x - 4

Step-by-step explanation:

[tex]y + 3 =1/4(x - 4)\\y + 3 = 1/4x - 1\\y = 1/4x - 4[/tex]

HELPPPP FASTTT PLEASEE

Answers

Answer:

a probably

Step-by-step explanation:

I urgently need help!!!!

Answers

Answer:

A. C (3,5)

Step-by-step explanation:

This makes the most sense because of the position point C is at on the coordinate plane. It is above point D, which has a x-axis of 3. Option A is the only one that has an x-axis of 3.

Hope it helps!

HELP ME ILL MARK BRAINLIEST
What is it? also please explain the strategy and answer the question and also write an equation to represent the situation be sure to define your variables

Answers

Answer:

Step-by-step explanation:1/4 times 24 that gives you 6 and then 5 times 24 is $120

A circle is centered at the point (-7, -1) and passes through the point (8, 7).
The radius of the circle is _____ units. The point (-15, ___) lies on this circle.


Will mark brainliest of correct

Answers

PLATO/Edmentum Answer:

17 & -16

Step-by-step explanation:

A circle is centered at the point (-7, -1) and passes though the point (8, 7).

The radius of the circle is 17 units. The point (-15, -16) lies on this circle

Solve the system by substitution.
-2y - 10 = x
- 10x - y = -14

Answers

Answer:

x=2 and y=−6

sorry this is pretty long, I did not know if you needed the steps or not

Step-by-step explanation:

−2y−10=x;−10x−y=−14

Solve−2y−10=x for x

−2y−10=x

−2y−10+−x=x+−x

−x−2y−10=0

−x−2y−10+2y=0+2y

−x−10=2y

−x−10+10=2y+10

−x=2y+10

-x/-1=2y+10/-1

x=−2y−10

Substitute−2y−10 for x in−10x−y=−14

−10x−y=−14

−10(−2y−10)−y=−14

19y+100=−14

19y+100+−100=−14+−100

19y=−114

19y/19=-114/19

y=-6

Substitute−6 for y in x=−2y−10

x=−2y−10

x=(−2)(−6)−10

x= 2

x=2 and y=−6

What type of solution do the two lines show?

Answers

Answer:

No solution.

Step-by-step explanation:

The two lines are parallel and will never meet. Therefore, they have no solution.

The lines show no solution

Is 2/5 and 8/20 equivalent

Answers

yes!
explanation:
8 divided by 4 equals 2 and 20 divided by 4 is 5

Answer:

Yes, they are.

Step-by-step explanation:

Manco went scuba diving. As he dove deeper, the water pressure around him increased at a constant rate. The table compares Mancini's depth (in meters) and the water pressure around him(in atmospheres). what was the pressure around manco when he was 30 meters deep?

Answers

Answer:

4.0 atm

Step-by-step explanation:

it looks to be a proportional ratio so for every meter pressure increases by .1 atm so if you add .8 to 3.2 you get 4 atm

which table represents a linear function?

Answers

Third table represents a linear function.

this year benny is 12 years old and his mom is 48 years old, what percent of Benny's age is his mom's age?​

Answers

25% should be correct

Answer: 12% because 12% is half of 48% if not I’m sorry

Please help right now why no one is answering me

Answers

Answer:

(0,0) .......................

Alexander was offered a job that paid a salary of $24,000 in its first year. The salary was set to increase by 4% per year every year. If Alexander worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole number?

Answers

9514 1404 393

Answer:

  $129,992

Step-by-step explanation:

The sum of a geometric series is given by ...

  Sn = a1·(r^n -1)/(r -1)

Here, the first term is 24000, and the growth factor r is 1+4% = 1.04. The sum is then ...

  S5 = 24000·(1.04^5 -1)/(1.04 -1) ≈ 129992

The total earned over 5 years was $129,992.

___

A spreadsheet can list the annual salaries and add them up. The salary each year is 1.04 times that of the previous year. That is shown in the attachment.

for what value of x is f(x) = 5 - 12x equal to 29?

Answers

Answer:

5-12x=29

-12x=29-5

-12x=24

x=-2

What kind of sequence is this? –165, –180, –195, –210

Answers

Answer:

7

Step-by-step explanation:

because if you subtract 180 and 210 do not subtract 18 and 210 because there is an answer for 180

Andrea spins the arrow on the spinner one time.
What is the probability that the arrow will land on a part of the circle that has a star?
O A O
C.
OB. 1
OD. 1

Answers

My Answer for your question is

A. O

which of these graphs shown represents x^2 + y^2 = 2.25

Answers

The answer is C


Hope this helped

Answer:

C

Step-by-step explanation:

the answer is c

HELP IM DOING THIS RN!​

Answers

Answer:

10

Step-by-step explanation:

2. 2. 2

6 +8 = C

36+64=100

Square root 100=10

Answer:

-10

Step-by-step explanation:

here is my explanation i count the distance from store to home for B

and that give me 8^2

for A i count the distance home to school give me 6^2

I add it 6^2 + 8^2 = -10

so C= -10

let me know if is correct

5(6p - 3) - 2 = 2(15p - 11) + 5

Answers

Answer:

p = 0

Step-by-step explanation:

step 1 (simplify) : 30p-17 = 30p-17 (add 17 to both sides)

step 2: 30p = 0 (divide both sides by 30)

p = 0


3) You have a giant, giant hot tub. The hot tub just so happens to be a perfect cylinder. You cannot fill it
all the way to the top, or the water would splash out when you get in. The hot tub is 12 feet wide and 4
feet tall. The instructions say to leave 6 inches at the top of the hot tub. How many cubic feet of water
will you need?

Answers

Answer:

Probably 8!

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Marianna draws a rectangle with a width of 2/5 inch and a length of 3/5 inch. What is the area of the rectangle

Answers

Answer:

[tex]A = \frac{6}{25} in^{2}[/tex]

Step-by-step explanation:

area = length • width

[tex]A = \frac{2}{5} *\frac{3}{5}\\A = \frac{6}{25} in^{2}[/tex]

Answer:

6/25

Step-by-step explanation:

i dont feel like explaning what a draaaaaggggg

whats the answer to


-7y=7x+21

Answers

Answer:

y = -x - 3

x = -y - 3

Step-by-step explanation:

If solving for y,

-7y = 7x + 21

-y = -x + 3 (dividing everything by 7)

y = -x - 3

If solving for x,

-7y = 7x + 21

-y = -x + 3

x = -y - 3

Triangles ABC and DEF are similar find d

Answers

Answer:

D equals 12; just multiply 6×2

Answer:

b: 12

Step-by-step explanation:

if a, b, and c are different prime numbers and abc=30, what is the sum of a, b, and c ?

Answers

Answer:

B. 10

Step-by-step explanation:

2 x 3 x 5 = 60

2 + 3 + 5 = 10

Hope that helps!

CAN SOMEONE HELP ME WUICK IM STUCK IN THE WASHER STEP BRO

Answers

Answer:

where is the problem.....

Our world has always been faced with the problem of discrimination. It is one of the most discussed topics nowadays and throughout history. In all countries there is most likely at least one type of discrimination that affects different groups of people. The definition of discrimination is the denial of opportunity or equal rights for a specific group of people that may be differentiated by things such as their religion, color of skin, or gender. Discrimination can be confused with other terms such as prejudice and stereotype. The world we live in has been struggling with this sensitive subject for as long as we have recorded. Stereotypes are images held in our minds in regards to certain racial or cultural groups, without consideration of whether the images held are true or false. Stemming from stereotypes is prejudice. The prejudicial attitude occurs when we prejudge a person, good or bad, on the basis that the stereotypes associated with the person or group being prejudged are true. Discrimination is the combination of the terms mentioned above, but involves actually acting out with unfair treatment, directing the action towards the person or group. Prejudice and discrimination do not just occur racially, but it is found among gender, religion, culture, and geographical background. Remember that prejudice is a result of attitude and discrimination is a result of action.

Many people believe discrimination has made big steps forward, but has it really? If it has, why do people still get turned down, receive hate mail, or get ridiculed simply because they differ from each other. I guess these are questions we must ask ourselves. I guess you could also ask yourself if you have ever called anybody a name, looked at them different or judged them when you did not even know them or understand them. You may be thinking “That is not discrimination,” but, in fact, it is.

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40 divided by 28 but I need the answer in decimal form thx and I need it asap

Answers

Answer:

1.429

Step-by-step explanation:

1.429

.............

40 divided by 28 is 1.4285

Is 2 a solution of the inequality 4 + a ≤ 6? *

No, 6 > 6.
Yes, 6 = 6.
Yes, 5 < 6.
No, 7 > 6.

Answers

Answer:

The answer is "Yes, 6 = 6"

Step-by-step explanation:

If you substitute 2 for A, you would get 4 + 2 is less than or equal to 6, which is true because 6 = 6.

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