find the height of a cone with a volume of 21ft and a radius of 4ft​

Answers

Answer 1

here's the solution,

volume of cone :

=》

[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]

=》

[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]

=》

[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]

=》

[tex]h = 1.253[/tex]

height = 1.25 ft (approximate)


Related Questions

PLEASE HELP FAST!!!
The table shows the percentage of students in each of three grade levels who list soccer as their favorite sport.
Soccer
Sophomores (35%) 50%
Juniors (33%) 45%
Seniors (32%) 30%
Total (100%) (0.5)(0.35) + (0.45)(0.33) + (0.32)(0.3) = 0.4195 or about 42%

Find the probability, rounded to the nearest hundredth, that any student selected from all three grades is a junior who lists soccer as the favorite sport.
P(junior ∩ soccer) =
A) 0.45
B) 0.78
C) 0.52
D) 0.15

Answers

Answer: a is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

0.45

Step-by-step explanation:

Scientists notice two asteroids moving directly toward each other. Right now, they are 20 million kilometers apart, but they are on a collision course. The graph represents their paths and likely collision point, with the origin representing the initial position of asteroid A.
What is the point of intersection of the two lines, and what do the x- and y-values of the point of intersection mean?

Answers

Answer:

The point of intersection is (6, 8). This indicates that in 6 days, asteroid A and B will collide at a point that is 8 million miles away from asteroid A's current position and 12 million miles away from asteroid B's current position.

PLEASE HELP ME!!!!!!!!!!!

Answers

Answer:

Yes.

Step-by-step explanation:

In order to form a triangle the sum of two sides should exceed the third side.

so here the given measurements fulfill this statement so

with the given lengths ; 15, 12 , 9 can form a triangle.

Are the following figures similar?

Answers

Answer:

no

Step-by-step explanation:

45/36=1.25

1.25x18=22.5

not 25

no common factor

so not similar

HELP ME PLEASE! THE ATTACHMENT HAS THE INFO.
THANK YOU!

Answers

Answer:

The answer is B

Step-by-step explanation: yo mum u dont need one

Answer:

Your answer is b

Step-by-step explanation:

Step-by-step explanation: None

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HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP


Answers

Answer:

it is D if I am not mistkin

Oh this is the answer down there
Ok so the answer is B

Find the value of x.

Answers

Answer:

x = 11

Step-by-step explanation:

The dot plots below show the number of points scored by Sam and Daniel in 15 basketball games.
Which statement is best supported by the data in the dot plots?

A The range for Daniel's data is greater than Sam's range.

B The median for Daniel's data is the same as the median for Sam's data.

C The range for Daniel's data is the same as the range for Sam's data.

D The median of Sam's data is greater than the median of Daniel's data.

Answers

Answer:

B.

Step-by-step explanation:

Sam median = 12 which has 3 points scored.

Daniel median = 16 which has 3 points scored.

Both scored the same amount of data which is 3 points.

Both the ranges are 16. so it cant be A or C.

Find the unknown measures. around lengths to the nearest hundredth and angle measures to the nearest degree.

Answers

Answer:

choice 3)

JK = 3.51

WK = 9.15

∠J = 69°

Step-by-step explanation:

sin 21° = JK/9.8

0.3584 = JK/9.8

cos 21° = WK/9.8

0.9336 = WK/9.8

WK = 9.15

∠J = 90° - 21° = 69°

choose the bast description for the real number 34/3

Answers

Step-by-step Answer:

C and D are both correct as fractions. Numbers are NOT irrational because they are a fraction. And concluding decimals are both rational numbers. By using a known formula you can convert reaptedly decimals to a fraction.  

What is 721295.198715 rounded to the nearest tenth

Answers

Answer:

The answer is 721295.2

Answer:

721,295.2

Step-by-step explanation:

I used the "Rounding Numbers Calculator" on Calculator Soup

finish solving for x
NO LINKS OR I WILL REPORT

Answers

Answer:

x=10  y=20

Step-by-step explanation:

What is logo e' rewritten using the power property?
O elog6f
O flog6e
O log6(e•f)
O log6(e+ f)

Answers

Answer: flog6e

Step-by-step explanation:
The power property of logarithm rule is :

Logamn = nlogaM

Applying the logarithm of power rule in the given expression we have:

Log6eF= flog6e

The second option that is flog6e is the right option among all the given options.

If the gradient of the line segment joining (-3,7 ) and (4,p) is 3/5 ,find p

Answers

Answer:

a

Step-by-step explanation:

Use the graph to estimate the selling price for a 4-year old car.
O A. $24,000
B. $20,000
che c. $8,000
D. $16,000

Answers

Answer:

The Correct answer would be option D, $16,000.

Step-by-step explanation:

Look at the bottom section of the graph, that is labled

"Age (in years)" at the number 4 line (representing the 4 year old car), and find the nearest dot on that line of the graph, it goes directly to 16,000.

What is the measure of the base of the triangle? The base of the triangle b has a measure of inches.​

Answers

Answer:

27

Step-by-step explanation:

Answer:   4

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

3.2 AT

The angles in the smaller prism measure 90

degrees.

The perimeter of the rectangular bases changes by

a factor of 2.

The surface area changes by a factor of 8.

The larger prism has twice the volume of the

smaller prism.

The area of the rectangular bases changes by a

factor of 4.

1.6

-

-

-

-

-

-

10.4

V

0.8

2.2.

Answers

Answer:

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.  

E)The area of the rectangular bases changes by a factor of 4.

Step-by-step explanation:

The right rectangular prisms are similar.

Which statements are correct? Check all that apply.

A)The angles in the smaller prism measure 90 degrees.

B)The perimeter of the rectangular bases changes by a factor of 2.

C)The surface area changes by a factor of 8.

D)The larger prism has twice the volume of the smaller prism.

E)The area of the rectangular bases changes by a factor of 4.

Solution:

Two polygons are said to be similar if they have the same shape, the ratio of their sides are in the same proportion and they have the same size of angles.

A) Since the bigger prism has angles with measure of 90°, hence the angles in the smaller prism will also measure 90.

Option A is correct.

B) Perimeter of bigger prism base = 2(2.2 + 0.8) = 6

Perimeter of smaller prism base = 2(1.1 + 0.4) = 3

The perimeter of the rectangular bases changes by a factor of 2 (6 / 3).

Option B is correct.

C) Surface area of bigger prism = 2(3.2*0.8 + 2.2*0.8 + 3.2*2.2) = 22.72

Surface area of smaller prism = 2(1.6*0.4 + 1.1*0.4 + 1.6*1.1) = 5.68

The surface area does not change by a factor of 8 (22.72 / 5.68 ≠ 8)

Option C is wrong

D) Volume of bigger prism = 2.2 * 3.2 * 0.8 = 5.632

Volume of smaller prism = 1.1 * 1.6 * 0.4 = 0.704

The larger prism volume is not twice of the smaller prism

Option D is wrong

E) Area of bigger prism base = 2.2*0.8 = 1.76

Area of smaller prism base = 2.2*0.8 = 0.44

The area of the rectangular bases changes by a  factor of 4 (1.76 / 0.44 = 4)

Identify the measures of exterior angle below. Let x = 15

Answers

plug in x as 15 and solve

what is the mean of the data? 24,31,12,38,12,15

Answers

Answer:

Hello Love! Answer: 22

Step-by-step explanation:

The mean is just an average of all the numbers added up then divided by how many numbers there are so I add up those numbers and I get 132 now I will just divide that by 6 sense there are 6 numbers and I get 22!


A game rental service allows customers to rent games for $5 each
after paying a monthly membership fee of $7. The total amount
spent each month can be modeled by y=5x+7. What does the
variable x represent in this function?
a) The total money spent each month
b) The number of games rented
c) The cost of renting 1 game



Anyone can help
Me with this?

Answers

Answer:

the number of games rented

Step-by-step explanation:

in y=5x + 7

7= membership fee

5x represents the $5 per game times the number of games rented x

X= the number of games rented

They cost 5 each, so u would multiply that times the number of games u bought

Which job here requires the least amount of training and education

A. Elementary Teacher
B. College professor
C. Cashier
D. Accountant

Answers

Answer:

Cashier

Step-by-step explanation:

An elementary school teacher has to go to college, a college professor has to have a college degree, and although accountants are always required to go to college most places hire accountants that have gone to school.

Answer:

C. Cashier

Step-by-step explanation:

Retail cashiers require no formal training.

To be an elementary teacher, you must have at least a Bachelor's degree.

To be a college professor, you must have at least a Master's degree.

To be an accountant, you must have at least a Bachelor's degree.

please dont guess. need the answer asap

Answers

WILD ANSWER - 35% possibility it could be wrong. Please check with other answer first.

Answer: X=15.4

Step-by-step explanation:

Cos 39 = x/26

12 x  =  0.77714596

x = 15.44111479

X=15.4

Consider this equation.
cos(θ) = 4sqrt41/41


If θ is an angle in quadrant IV, what is the value of sin(θ) ?

Answers

Answer:

A.  -5√41/41

Step-by-step explanation:

Let the horizontal leg = 4√41 and the hypotenuse = 41 as

cosine = adjacent leg / hypotenuse.

Then the vertical leg is:

√(41² - 16*41) = √25*41 = 5√41

Since the vertical leg is below the x-axis, its value is -5√41

Then we have:

sin (θ) = -5√41/41

Correct choice is A

Answer:

Step-by-step explanation: i just take the test

Determine the volume of the rectangular prism.​

Answers

Answer:

132in

Step-by-step explanation:

Answer:

hi

Step-by-step explanation:

[tex]v = 4 \times 6 \times 5 \frac{1}{2} \\ v = 24 \times \frac{11}{2} = 132[/tex]

hope it helps

have a nice day

PLSSS HELPPPPP WILL REWARD THE BRAINLIESTTT SOONER OR LATER THATS A PROMISE

Answers

Divide both sides by l. Hope this helps! :D

Answer:

Divide both sides by L

Step-by-step explanation:

Because L is multiplied by W, to find W you would need to move the L to the other side by doing the reverse operation, which in this case is division.

what is the sum of 3,9​

Answers

Answer:

3 + 9 = 12 !

Step-by-step explanation:

3 x 9 = 27 if you multiply

Abigail and Grace collected clovers. Abigail collected clovers with
4 leafs and Grace collected clovers with 5 leafs. They counted the
number of leafs in both collections and realized that it is the
same. What is the least number of leafs that each collection must
have?

Answers

Answer:

20

Step-by-step explanation:

To find the least number of leafs that each collection must have, we find the L.C.M of both numbers. So L.C.M of 4 and 5.

The prime factors of 4 = 2²

The prime factors of 5 = 5

So L.C.M of 4 and 5 = 2² × 5 = 20

So, the least number of leafs that each collection can have is 20 leafs.

Please helpp!! (30 POINTS)!!!

Answers

Answer:

b

Step-by-step explanation:

11+11+10+10=42cm

Solve the system by substitution 8y+3=x 9x-5y=-40

Answers

Solve for the first variable in one of the equations, then substitute the result into the other equation.
Point Form:

(-5,-1)

Equation Form:

X = -5 and Y = -1


Hope this helps :)

Have a great day!

please heeeeeeeeeeeeeeeeeeelp

Answers

Answer:

its answer is option c .

hope it helps :)

Step-by-step explanation:

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