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

Dallas was told to run around the perimeter of the high
school as a warm-up for football practice. What
distance will Dallas run from point A to point B?
30 yards
48 yards
50 yards
98 yards

Answers

Answer:

B 48 yards

Step-by-step explanation:

y=2x^2+12x+14 in vertex form

Answers

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form

Need help solving these questions!!! PLEASE HELP AS SOON AS YOU CAN!! 7.
Use the figure below to identify angle pairs: Picture included
Part I:Name a pair of angles that are complementary and adjacent. (1 point)
Part II: Name a pair of angles that are complementary but not adjacent. (1 point)
Part III: Name a pair of angles that are supplementary and adjacent. (1 point)
Part IV: Name a pair of angles that are supplementary but not adjacent. (1 point)
8. Use the figure below to identify and name points. (second picture)
Part I: Name three points that are collinear. (1 point)
Part II: Name three points that are noncollinear. (1 point)
If CD is the perpendicular bisector of AB , then _____ = EB and m

Answers

Answer:

Step-by-step explanation::)

Watch help video
Which of the following equations represents a line that passes through the points
(2,0) and (1, -4)?
I. 4.x - y = 9
II. y +4 = 4(x + 0)
Neither
I only
II only
I and II

Answers

Answer:

I think neither

Step-by-step explanation:

What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution

Answers

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

4/5x=3/10(x+4)  / · 10

8x=3(x+4)

8x=3x+12

8x-3x=12

5x=12  /:5

x=12/5

What’s the domain of this graph?

Answers

Answer: ( ∞ , -∞ )

Step-by-step explanation:

Two number cubes with sides numbered 1-6 are rolled. What is the probability that the sum of the numbers on the cubes is 12?

Answers

Answer:

1/36

Step-by-step explanation:

Attached is a chart showing the 36 possible outcomes for rolling 2 number cubes.  The sum of the two cubes is 12 in only one of the outcomes (both sixes).  The probability is 1/36.

Alphonsus went shopping for new school clothes. He bought 4 t-shirts and 3 pairs of pants.
How many different outfits can Alphonsus put together with his new clothes?

A. 1
B. 3
C. 4
D. 7
E. 12

Answers

E. 12
You take 4 shirts times 3 pairs of pants

Are the ratios 18:9 and 2:1 equivalent?

Answers

Answer:

Yes

Step-by-step explanation:

[tex]\frac{18}{9} =\frac{2}{1}[/tex]

The two ratios are,

→ 18 : 9 and 2 : 1

We have to find,

→ whether the ratios are equivalent?

Now simplify the first ratio,

→ 18(÷9) : 9(÷9) = 2 : 1

→ 2 : 1 = 2 : 1

Yeah, the two ratios are equivalent.

What time is shown on this clock?

six forty-three

seven forty-three

eight thirty-two

nine thirty-two

Answers

Answer:

theres no clock

Step-by-step explanation:

Liah randomly selected 25% of the seventh-grade students in her school and asked
them their favorite season. Of the students surveyed, 53 chose summer as their
favorite season. Based on the data, what is the most reasonable prediction of the
number of seventh-grade students in her school who would choose summer as their
favorite season?

Answers

Answer:

212

Step by Step Explanation:

out of 1/4 of the school, 53 chose summer

53*4=212

Please help ASAP!!
A turtle and a snail are 360 meters (who counts this again?) apart, and they start to move towards each other at 3 pm. If the turtle is 11 times as fast as the snail, and they met at 3:40 pm, find the speed of each.
Thank you!! :)

Answers

Answer:

Turtle = 11 m / min      

Snail = 1 m / min

Total approach speed = 12 m/min

360 m / (12 m/min) = 30 min

Separation is 30  min       at assumed speed of 1 m/min

But we know the separation is 40 min

So turtle moves at 3/4 * 11 m / min = 33 m/ 4 min

Snail moves at 3/4 * 1 m /min = 3/4 m / mi

Total approach speed = (33 + 3) / 4 = 9 m / min

So in 40 min

9 m / min * 40 min = 360 m

(Leaving out those units,  they approach at 12 * unit of speed)

So the unit of speed has to be 360 m / 40 min = 9 m / min

Refer to the given figure. If QR=3x+4, KL=15, JL=2x+10, find the measure of JL. A. 2 B. 6 C. 18 D. 22

Answers

Answer:

Option C

Step-by-step explanation:

From the given figure, it is clear that the two triangles are similar to each other with QR = KL

As we know

QR = 3x+4 and KL = 15, we can derive the value of X

3X+4 = 15

X = 11/3

Jl = 2X + 10 = 2*11/3 +10 = 22 +30/3 = 52/3 = 18

hence, option C is correct

Find the slope of the line that passes through the points (2, -3) (-1, 2).

Answers

y2-y1/x2-x1 ,so the slope is -4

37).
I have read 313 pages of my 1298 pages book. How many pages
must I read until I reach the middle?

Answers

Answer:

336

Step-by-step explanation:

Answer:

you should read 336 pages for you to reach the middle.

Step-by-step explanation:

1298/2--649

649-313--336

find the length of side x using the Law of Cosines.

Answers

Answer:

The length of side x is 22.91

Step-by-step explanation:

As per law of cosine

[tex]X = \sqrt{a^2 + b^2- 2*a*bcos\gamma}[/tex]

Where

[tex]gamma = 56[/tex] degrees

a = 20

b = 27

Substituting the given values in above equation, we get -  

[tex]X = \sqrt{20^2 + 27^2 - 2*20*27*cos 56} \\X = 22.91[/tex]

Hence, the length of side x is 22.91

Question 8
1 pts
Write the equation of a line that passes through the point (-5,-4) and has
a slope of 1/5.
O y = 0.2x + 3
O y = 0.2x - 3
O y=-3x -0.2
O y = 0.2x - 4
< Previous
Next →

Answers

Answer:

B) y=1/5x-3 where 1/5=0.2.

Step-by-step explanation:

y-y1=m(x-x1)

y-(-4)=1/5(x-(-5))

y+4=1/5(x+5)

y=1/5x+5/5-4

y=1/5x+1-4

y=1/5x-3

mary says 1/8 is greater than 1/4 because 8 is greater than 4. is mary's reasoning correct

Answers

Answer:

Mary's reasoning is incorrect.

Step-by-step explanation:

1/8 < 1/4

Similar right triangles
Find the value of x.

Answers

x^2 = 9.4 = 36
x = 6
good luck

PLEASE HELP!! NO LINKS- I WILL MARK BRAINLIEST!!
#3) Using this picture, find the measure of J.
A. 28 square root 3
B. 14
C. 28
D. 56
#4) Using the same picture, find the measure of side K.

A. 28 square root 3
B. 14
C. 28
D. 56

The answer for both is NOT B- it’s either A, C, or D :(

Answers

Answer:

J: 28 square root 3

K: 56

Step-by-step explanation:

not sure about J but def sure abt K

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

......Answer: V = 1046.6

The probability that a person cannot read is 0.85 what is the probability that 2 people selected at random will be unable to read

Answers

Answer: 0.7225

Step-by-step explanation:

Since the probability that a person cannot read is 0.85. The probability that 2 people selected at random will be unable to read will be gotten by multiplying the value of the probability given twice. This will be

= P(not read) × P(not read)

= 0.85 × 0.85

= 0.7225

Therefore, the probability that 2 people selected at random will be unable to read is 0.7225

NO LINKSS PLS!!! Help a girl out plsss I need to passThe following comparative stem-and-leaf plot represents the ages in years)
of the members of two professional basketball teams. Which of the following
statements is correct?

Answers

Answer:

B

Step-by-step explanation:

I write this question for no reason

Answer has to be at least 20 words long to get brainliest

Answers

Answer:

hi i need points and i dont know what to write i hope you have a great day or night :)

Step-by-step explanation:

yeoo, how are you? I hope you're doing well and having a great day g. Anyways I only need one more brainliest to pass this rank, so it would be real helpful but it's okay if not. I hope you are taking care of yourself, have a nice day/night !

A car company makes 5 different types of compact cars , 4 different types of mid-sized cars and 3 different types of large cars. If a rental company would like to buy one compact car, one mid-sized car and one large, how many different ways can a set of cars be bought?

Answers

Answer:

a set of cars can be bought in one way

1 different way

Find the measure of angle DAB in the given figure.
a)46
b)25
c) none

Answers

I believe the answer is A!!

ASAP someone please use the Pythagorean Theorem to solve for the missing side of these two right triangles.

Answers

Answer:

9) x = 5

10) x = 4

Step-by-step explanation:

a^2 + b^2 = c^2

9) 6^2 + x^2 = 8^2

  - 36 + x^2 = 64

  -  36            - 36

_______________

           x^2 = 28

Square root them

Squareroot x^2 is x

Square root 28 is 5.29 round is 5

so x = 5

*Correct me if im wrong*

10) 3^2 + x^2 = 5^2

     9 + x^2 = 25

  -  9              - 9

____________________

             x^2= 16

Square root them

square root of x ^2 is x and square root of 16 is 4

so x = 4

HELP WILL GIVE BRAINLY NO LINKS PLS​

Answers

Answer:

♨ [tex] \underline{ \underline{ \large{ \tt{G \: I \: V \: E \: N}}}}: [/tex]

∠ FED = 115° , ∠ CEB = 160° , ∠ AEF = x°

✧ [tex] \underline{ \underline{ \large{ \tt{T\: O \: F \: I \: N \: D}}} }: [/tex]

Value of x

✎ [tex] \underline{ \underline{ \large{ \tt{ \: S \: O \: L \: U \: T\: I\: O\: N}}} }: [/tex]

☃ [tex] \large{ \tt{\angle \: CEG = \angle \: \: FED\: }}[/tex] [ Being vertically opposite angle ]

↣ [tex] \large{ \tt{ \angle \: CEG = 115 \degree}}[/tex]

☼ [tex] \large{ \tt{ \angle \: GEB = \angle \: CEB - \angle \: ceg}}[/tex]

⇢ [tex] \large{ \tt{ \angle \: GEB = 160 \degree - 115 \degree = \underline{ 45 \degree}}}[/tex]

☥ [tex] \large{ \tt{ \angle \: AEC= \angle \: GEB}}[/tex] [ Being vertically opposite angles ]

⇾ [tex] \huge{ \boxed{ \underline{ \large{ \tt{x = 45 \degree}}}}}[/tex]

♕ Hope I helped ! ♡

☄Have a wonderful day / night ! ☃

❀[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex]✑

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

One of the legs of a right triangle measures 14 cm and the other
leg measures 9 cm. Find the measure of the hypotenuse. If
necessary, round to the nearest tenth.

Answers

Answer:

16.6

Step-by-step explanation:

[tex]14^{2}+9^{2}= 277\\[/tex]

[tex]\sqrt{277}[/tex]=16.6(rounded)

i think its like 126

Someone please help!! I’ll give brainliest:))

Answers

I’ve attached my work...
Hope it helps! Have a nice day :)
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