A cylindrical vase has a diameter of 6 inches. When completely filled, the vase holds 72π cubic inches of water.
What is the height of the vase?

Answers

Answer 1

Answer:

Height of cylindrical vase = 8 inches

Step-by-step explanation:

Given:

Diameter of cylindrical vase = 6 inches

Volume of cylindrical vase = 72π inches³

Find:

Height of cylindrical vase

Computation:

Radius of cylindrical vase = Diameter of cylindrical vase / 2

Radius of cylindrical vase = 6 / 2

Radius of cylindrical vase = 3 inches

Volume of cylinder = πr²h

Volume of cylindrical vase = πr²h

72π = πr²h

72π = π(3)²h

72π = 9πh

72/ 9 = h

Height of cylindrical vase = 8 inches


Related Questions

A black bear gave birth to cubs weighing 9 1/2 Ib , 8 1/2Ib , 10 5/8 Ib, and What is the average weight of the cubs?
The average is _ Ib. Type a whole number or a simplified fraction.)

Answers

Note: I don’t really like giving people answers. but i like them to learn. So i will teach you how to find a average of something, and using that method try to solve this problem

To find a average of something all you need to do is to add the numbers up and divide it by the total  is. As for example, pretend we have two bags, one with 5 marbles and the other one with 3 marbles. now you have to add them all up 5+3=8. Know we know the total numbers of marblas. So we know we have to bags right?l we divide 8 by 2 which is 4. i really hope you learned how to find the average of something. Hope this helps a lot!

5 balloons in 12 minutes. At this rate, how many balloons can she blow up in 3 hours?

Answers

Answer:

75 ballons in 3 hours

Step-by-step explanation:

We know the ratio min to balloon, 12:5.

A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]

So, 75 balloons is how many she can blow up in 3 hours.

Simplify the expression below.

Answers

B is the correct answer. 106
DO NOT CLICK ON ANY LINKS they write!

EN LA CIMA DE UN FARO DE 7 m DE ALTO SE OBSERVA UNA LANCHA CON UN ANGULO DE DEPRESIÓN DE 12 GRADOS. CALCULAR LA DISTANCIA ENTRE LA LANCHA Y EL PIE DEL FARO

Answers

Answer:

33 metros

Step-by-step explanation:

Esto puede simplemente asimilarse a un problema de trigonometria simple. El Vemos un faro con una altura de 7 m, observando una lancha a 12°. Se pide calcular la distancia de la lancha al faro, pero desde su base.

En este caso, necesitamos determinar ese lado. Observando la figura adjunta, podrás notar que solamente debemos calcular el cateto adyacente del triangulo formado entre el faro y la lancha y sus distancias. Para hacer eso, solo usamos la siguiente función trigonométrica:

tgθ = cat op / cat ady   (1)

De ahí despejamos el cat ady:

cat ady = cat op / tgθ

Reemplazando tenemos:

cat ady = 7 / tg12

cat ady = 32.93 m o solo 33 m.

Espero te sirva

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance between the boat and the lighthouse is 32.93 meters.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

[tex]\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}[/tex]

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

Base is the adjacent smaller side of the angle θ.

Como se da que la altura del faro es de 7 m mientras que el ángulo de depresión es de 12°, por tanto, el ángulo entre el barco y la parte superior del faro también es de 12°.

Ahora, la función tangente de la trigonometría se puede escribir como,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distancia entre el faro y el barco}}\\\\\\{\text{Distancia entre el faro y el barco}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distancia entre el faro y el barco}} =32.93\rm\ m[/tex]

Por tanto, la distancia entre el barco y el faro es de 32.93 metros.

In English,

The question is AT THE TOP OF A 7 m HIGH LIGHTHOUSE, A BOAT IS SEEN WITH AN ANGLE OF DEPRESSION OF 12 DEGREES. CALCULATE THE DISTANCE BETWEEN THE BOAT AND THE FOOT OF THE LIGHTHOUSE.

As it is given that the height of the lighthouse is 7 m while the angle of depression is 12°, therefore, the angle between the boat and the top of the lighthouse is also 12°.

Now, the tangent function of the Trigonometry can be written as,

[tex]Tan(\theta)=\dfrac{Perpendicular}{Base}\\\\\\Tan(12^o) = \dfrac{7\ m}{\text{Distance between the light house and the boat}}\\\\\\{\text{Distance between the light house and the boat}} = \dfrac{7\ m}{Tan(12^o)}\\\\\\{\text{Distance between the light house and the boat}} =32.93\rm\ m[/tex]

Hence, the distance between the boat and the lighthouse is 32.93 meters.

Learn more about Tangent (Tanθ):

https://brainly.com/question/10623976

6(2x-3) - 2(2x+1)
can someone get an answer for that ASAP pls
no links :)​

Answers

Answer: 8x−20

Step-by-step explanation:

Distribute:

=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)

=12x+−18+−4x+−2

Combine Like Terms:

=12x+−18+−4x+−2

=(12x+−4x)+(−18+−2)

=8x+−20

Answer:

[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]

Step-by-step explanation:

brainiest please

the cost to rent a paddleboat at the city park includes an initial fee of $7.00, plus $3.50 per hour. Which equation models the relationship between the total cost, Y, and the number of hours, X, that the paddleboat is rented?

A. y =3.5x+7 B. y =7x+3.5
B. y =7x+3.5
C. y =x/7+3.5 D. y =x/3.57
D. y =x/3.5+7

Answers

Answer:

the correct answer is A, y=3.5x + 7

Please help!! Thanks in advance!! NO links!!

Kallan will spin each spinner one time. What is the probability that the first spinner will land on a number greater than 7 and the second spinner will land on blue?

Answers

Answer:

probability for numbers greater than seven would be: 5/12

probability for landing on blue would be: 2/8

Step-by-step explanation

first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.

I don’t get this please help

Answers

Answer:

I believe it is -2 1 minimum. I'm so sorry if it's wrong!

Help meeee please ~

Answers

Answer:

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

Step-by-step explanation:

Let

x = cost per pound of almond

y = cost per pound of cashew

Magda:

6x + y = 73.60

Nicholas:

4x + 3y = 78.00

6x + y = 73.60 (1)

4x + 3y = 78.00 (2)

Multiply (1) by 3

18x + 3y = 220.8 (3)

4x + 3y = 78.00 (2)

Subtract (2) from (3) to eliminate y

18x - 4x = 220.8 - 78.00

14x = 142.8

x = 142.8 / 14

x = 10.2

Substitute x = 10.2 into (1)

6x + y = 73.60 (1)

6(10.2) + y = 73.60

61.2 + y = 73.60

y = 73.60 - 61.2

y = 12.4

x = cost per pound of almond = $10.2

y = cost per pound of cashew = $12.4

in geometry class there are 9 males and 11 females. what is the ratio of males to the total number of students

Answers

Answer:

9:20

Step-by-step explanation:

9 males

11 + 9 total people

9 : 20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

how much sand do you need to fill this box?

Answers

V = L x W x H
V = 5 x 2 x 3
V = 30 ft

ANSWER: you need 30ft of sand to fill the box

Answer:

30ft

Step-by-step explanation:

uhhhhhhh helppppppppp

Answers

Answer:

A

Step-by-step explanation:

Answer: A 4\5

Step-by-step explanation:

There are 220 students in the seventh grade, and 10% are in the Environmental Club. How many students are in the Environmental Club?​

Answers

Answer:

22 students are in the environmental club

Step-by-step explanation:

220 / 10 = 22

Answer:

22

Step-by-step explanation:

Will get brainliest!!!!!
Will report bots

Answers

Answer:

x= -5 or x=4

Step-by-step explanation:

Lets first turn this into quadratic formula form

(-1 ±[tex]\sqrt{1^2-4*1*-20}[/tex]) / 2

(-1 ± 9 )/2

-10 / 2   =x or 8/2 =x

x= -5 or x=4

It was hard to type it in the comments hope this helped

Solve the right triangle. Round decimal answers to the nearest tenth.

Answers

AB² = AC²+BC²

AB² = 9²+12²

AB²= 225

AB= 15

SinA = 12/15

A = Sin-¹(0.8)

M`A = 53°

M`B = 90- A = 90-53= 37°

Answer:

AB = 15

m ∠A  = 53.1°

m ∠B  = 36.9°

Step-by-step explanation:

[tex]AB^2 = AC^2+CB^2 \\AB^2 = 9^2 + 12^2 = 81 + 144 = 225\\AB = \sqrt{225} = 15[/tex]

[tex]sin A = \frac{opposite}{hypotenuse} = \frac{12}{15}\\\\A = sin^{-1} (\frac{12}{15})\\\\[/tex]

A = 53.13

m∠A  = 53.1°

∠A + ∠B + ∠C = 180°

53.1 +∠B  + 90 = 180

∠B = 180 - 90 - 53.1 = 36.9°

Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

Answers

Answer:

[tex]6+ \sqrt{29},6-\sqrt{29}[/tex]

Step-by-step explanation:

The given quadratic equation is [tex]x^2-12x+7=0[/tex]

The general form of quadratic equation is given by :

[tex]ax^2+bx+c=0[/tex]

Comparing both the equations,

a = 1, b = -12 and c = 1

The solution of a quadratic equation is given by :

[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]

Put all the values,

[tex]a=\dfrac{-(-12)\pm \sqrt{(-12)^2-4\times 1\times 7} }{2(1)}\\\\=\dfrac{12\pm \sqrt{116}}{2}\\\\=\dfrac{12\pm 2\sqrt{29}}{2}\\\\=6\pm \sqrt{29}[/tex]

So, the solutions of the given equation is [tex]6+ \sqrt{29},6-\sqrt{29}[/tex]. Hence, the correct option is (d).  

What is the value of x in the figure ? In this diagram,
△ABD≅△CAD.

A √160
B 8
C 16/5
D √5
E 25/4
F 16

Answers

9514 1404 393

Answer:

  E.  25/4

Step-by-step explanation:

The right triangles are similar so the sides are proportional.

  short side/hypotenuse = x/10 = 10/16

  x = 100/16 = 25/4 . . . . . . multiply by 10

You walk at a rate of 2 blocks per minute, so you walk 12 blocks in
Blank minutes.

Answers

6 minutes because 6 x 2 is 12.

I am in need of help plz and thank you:

Answers

Answer:

x ≥ 1

Step-by-step explanation:

-30 + 8x ≥ -22

Add 30 to both sides.

8x ≥ 8

Divide both sides by 8.

x ≥ 1.

On the number line, click and hold in the middle of 0 and 2 (1) and drag all the way to the right to 12.

In a class of 50 students, the number of students who offer accounting is twice as the number who offer economics.10 students offer neither of the subject and 5 students offer both subject. (i)illustrate the information on a Venn diagram. (ii) how many students offer accounting? (iii) how many students offer economics? (iv)how many students offer only 1 subject?​

Answers

Answer:

accounting=30, economics=15, only one=35

Step-by-step explanation:

a=2e

5 both

10 neither

40=a+e-5

45=a+e

45=2e+e

e=15

a=2e

a=30

f

29
7. Find the least number that must be added to 1300 so as to get a perfect square. Also, find the square root of the
perfect square​

Answers

Answer:

69 need to be added

Step-by-step explanation:

1300 +69 = 1369

37 ²  = 1,369

square root of 1,369 is 37

Help! Will give out brainliest

Answers

Answer:

75

Step-by-step explanation:

don't know how to explain hope this helps

it would be 75

-----------------------------------------------------------------------------------------------------------------

an inspector tests 30 randomly selected batteries from two different brands. the inspector records the life of each battery using dot plots. which sample has a more consistent battery life how do you know

Answers

Answer:

15

Step-by-step explanation:


Please help me rn)$:$:$3$$3 plzzzz

Answers

Answer:

-3

Step-by-step explanation:

The y intercept is the constant(b) next to mx in y intercept form.

HELP MEEEeeeeeEEEEEEEEEEE

Answers

Answer:

it's neptune hun

Step-by-step explanation:

Answer:

Neptune

Step-by-step explanation:

Like Jupiter and Saturn, Neptune radiates more hear than it receives. ... The average temperature on Neptune is a brutally cold -373 degrees F. Triton, Neptune's largest satellite, has the coldest temperature measured in our solar system at -391 degrees F.

Plz help ASAP the number that is cut off on 69 is 24

Answers

Answer:

[tex]A=256\ units^2[/tex]

Step-by-step explanation:

The given figure shows a triangular pyramid having 16 units as height. The base of pyramid is triangle.

The area of a triangular pyramid is given by :

[tex]A=\dfrac{1}{3}bH[/tex]

Where

b is the area of base

[tex]A=\dfrac{1}{3}\times \dfrac{1}{2}\times B\times h\times H\\\\=\dfrac{1}{6}\times 12\times 8\times 16\\\\=256\ units^2[/tex]

So, the required area is equal to [tex]256\ units^2[/tex].

What would this expression be when simplified

Answers

Very top 1 …………………………………………

Write 5,890,000,000 in scientific notation.

Answers

The answer is 5.89 x 10^9

‼️‼️‼️‼️can someone pls explain and what’s the answer? pls:)‼️‼️‼️‼️‼️‼️

Answers

4. would be B because the y column is being multiplied by 1.5

Answer:

4. B

(I'm not positive on what the answer to 5 is, so I won't guess bc I don't want u to get it wrong.)

Step-by-step explanation:

I know that the answer for 4 is B and I'll tell u why. B reads y = 1.5x

This means that when u multiply any number in the row marked "x" by 1.5 it should get the number that's right below it (in the "y" row).

This may sound confusing so let's add some context to it. When we chose the number 20 in the "x" row and multiply it by 1.5 the number we should get has to be 30 bc it's right below 20. In this case it IS so it is a true statement. Make sure to check the statement using different numbers from the row marked "x". (I already checked for u, but it's still a good tip to have )

HOWEVER, when we do a statement that does not correspond to the table

it will not give u a number that's below the row "x". If we use statement A, x = 1.5y that would mean that every number in row "y" should be the number on top of it (row "x") when multiplied by 1.5. This is a false statement bc 60 × 1.5 does not equal 40. If we keep trying with this statement, we will see that it's false. THE EQUATION THAT REPRESENTS THE DATA IN THE TABLE IS B.

Giving brainlist to whoever answers

Answers

i think the answer would be J?
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