A third candle, in the shape of a right circular cone, has a volume of 16 cubic inches and a radius of 1.5 inches. What is the height, in inches, of the candle? Round your answer to the nearest inch.

Answers

Answer 1

Given:

Volume of a right circular cone = 16 cubic inches

Radius of the cone = 1.5 inches.

To find:

The height of the cone.

Solution:

The volume of a cone is:

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

Where, r is the radius and h is the height of the cone.

Putting [tex]V=16,r=1.5,\pi=3.14[/tex] in the above formula.

[tex]16=\dfrac{1}{3}(3.14)(1.5)^2h[/tex]

[tex]48=(3.14)(2.25)h[/tex]

[tex]48=7.065h[/tex]

Divide both sides by 7.065.

[tex]\dfrac{48}{7.065}=h[/tex]

[tex]6.794=h[/tex]

[tex]h\approx 7[/tex]

Therefore, the height of the cone is 7 inches.


Related Questions

Can u please help me??
It would be very helpful if u could write down the answer on a piece of paper(50pts)

Answers

Answer:

Given GP:

tₙ = (1/3)ⁿ⁻¹

We see that:

t₁ = 1, r = 1/3

Sum of  n terms:

Sₙ = t₁(1 - rⁿ)/(1 - r)Sₙ = [1 - (1/3)ⁿ] / (1 - 1/3) = [1 - (1/3)ⁿ] / (2/3) = 3/2 [1 - (1/3)ⁿ] Sₙ = 3/2 [1 - (1/3)ⁿ]

Reduce your fraction into lowest terms.

Answers

21/35= 3/5 this is the lowest fraction

The area of the rectangle shown below is 36 square units. Set up and solve an equation to find the value of x

Answers

Answer:

x = 3 is the answer :)

hope this helps

need help fast with math problem!!!!

Answers

Just put the answer unless you have to show work

16 years 6 months =
months?

Answers

Answer:

198 months

Step-by-step explanation:

12 months in a year times 16 years plus 6 months is 198

Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
The mean, or average is a measure of center
The range of data set is a measure of center
The median of a data set is a measure of variability.
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number

Answers

Answer:

These are the answers:

A) The mean, or average, is a measure of center.

D) Measures of variability describe how the values in a data set vary.

E) Measures of center describe all values in a data set with a single number.

The mean, or average is a measure of center

Measures of variability describe how the values in a data set vary.

Measures of Center describe all values in a data set with a single number

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The following statements about measures of center and variation are true:

The mean, or average, is a measure of center.

Measures of variability describe how the values in a data set vary.

Measures of center describe all values in a data set with a single number.

The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.

The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability

To learn more about median click :

https://brainly.com/question/28687994

#SPJ2

elationship between Two Vallables Use the graph to find the relationship between the two variables. Select all that apply. O The two variables are books and months. O The two variables are 4 and 8. O Books is the independent variable, and months is the dependent variable. O Months is the independent variable, and books is the dependent variable. The relationship is y = 4x. The relationship is x = 4y. 8​

Answers

Answer:

A D E <3 your welcome!

Answer:

b c and f :)

Step-by-step explanation:

hope this helps :)

what foes the graph of profits as a function of the number of hats sold look like?​

Answers

the answer is D i think

29 thanks and no links or you get reported

Answers

Answer:

$480.11 (C)

Step-by-step explanation:

$575.26 - $95.15 = $480.11

6x – 9 = 33 Check


please and thank you ​

Answers

Answer:

x = 7

Step-by-step explanation:

6x - 9 = 33

6x = 33 + 9

6x = 42

x = 42 / 6

x = 7

6x - 9 = 33

6 x 7 - 9 = 33

42 - 9 = 33

33 = 33

Hope that helps!

Answer: x=7

Step-by-step explanation:

6x-9=33

for x

6x=33+9

6x=42

x=42/6

x=7

for checking put value of x

6*7-9=33

42-9=33

33=33

Help please...NO LINKS

Answers

I think it’s B if not srry

Un grupo de 4 amigos va al cine y las entradas les han costado 24$.¿cuanto pagaria en total un grupo de 7 amigos por sus entradas?

Answers

hi

4 entries are  24   so one  entry is  24/4 = 6  

so 7 friends pay  6*7 = 42

Translate the following words into an ALGEBRAIC EXPRESSION:

The difference of three and twice a number plus one

Answers

Answer:

3-2x+1

Step-by-step explanation:

If we indicate x the generic number we can write this expression

3-2x+1

when a sign of an operation is not expressed it means that the operation is multiplication

2x means 2*x  

i need help to pass math

Answers

Answer:

40.82

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

C = 2πr

81.64 = 2(3.14)r - divide both sides by 2

40.82 = 3.14r - divide both side by 3.14

13 = r


PLEASE HELP ME NOW ASAP I HAVE A MIN LEFT

Answers

Answer: B

Step-by-step explanation:

pls help 1755.97809915 round to the nearest cent

Answers

Answer:

1755.98

Step-by-step explanation:

1755.97809915

1 cent is 1 hundredth of a dollar, so to round to the nearest cent means to round to the nearest hundredth.

The 7 in boldface is the hundredths place.

Drop all digits to the right of the 7.

1755.97

dropped digits: 809915

Look at the leftmost digit that was dropped (in boldface). If it is from 0 to 4, you are done, and the answer is 1755.97. If the leftmost digit that was dropped is from 5 to 9, the hundredths digit goes up by 1. Here, the first digit that was dropped is an 8, so the 7 in the hundredth place goes up 1 to 8.

Answer: 1755.98


PLEASE HELP !
Determine whether each equation represents a linear or a nonlinear function
Select Linear or Nonlinear for each equation

Answers

Step-by-step explanation:

Note:

Linear equations will never exponents in its equation such as

[tex] {x}^{2} \\ y = {x}^{3} [/tex]

as those equations will produce curly graphs.

Nonlinear equations will either contain exponents or logarithms (eg. ln2)


PLEASE HELP I GIVE BRAINLIEST

Answers

Yes, the correct answer is D
the correct answer d

What is the value of x in the equation below?

One-third (12 x minus 24) = 16
2
6
8
10

Answers

Answer:

X=2

Step-by-step explanation:

Using distributive property: 1/3(12x-24)=16

4x- 8=16

Using oposite oporations on both sides:

4x-8=16

4x+8=16-8

4x=8

8/4=2

x=2

can I have brainliest please

Answer:

a

Step-by-step explanation:

Determine the length of the hypotenuse. Round your answer to the nearest tenth, if necessary.

Answers

Answer:

12.7

Step-by-step explanation:

[tex]9^{2}+9^{2}= 162\\\\\sqrt{162}= 12.7[/tex]

A cone has a volume of 200.96 cubic centimeters and a height of 12 centimeters. What is its radius? Use ​ ≈ 3.14 and round your answer to the nearest hundredth. r ≈ centimeters

Answers

Answer:

Radius = 4 cm

Step-by-step explanation:

Formula:

r = √[ (3 * v) / (π * h) ]

6m+5=m+20 pls help now

Answers

Answer:

m = 3

Step-by-step explanation:

Answer:

m = 3

Step-by-step explanation:

6m + 5 = m + 20

6m + 5 - 5 = m + 20 - 5

6m = m + 15

6m - m = m - m + 15

5m = 15

5m ÷ 5 = 15 ÷ 5

m = 3

What is the best estimate for 42% of 68?

Answers

Answer:

29 when rounded up 27 when rounded down and 28.56 in genral

Step-by-step explanation:

Answer:

28 or 30

Step-by-step explanation:

42 to 40 and 68 to 70 then

hope this helps :b

i really need help please

Answers

Answer:

a = 4, x = 1

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , then

WX = YZ , that is

a² + 5a = 5a + 16 ( subtract 5a from both sides )

a² = 16 ( take the square root of both sides )

a = ± [tex]\sqrt{16}[/tex] = ± 4

Since a > 0 , then a = 4

Also

XY = WZ , that is

x² + 6x = 4x + 3 ( subtract 4x + 3 from both sides )

x² + 2x - 3 = 0 ← in standard form

(x + 3)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 3 = 0 ⇒ x = - 3

x - 1 = 0 ⇒ x = 1

Since x > 0 , then x = 1

Vince and 11 of his friends went out for pizza on Saturday night to celebrate Vince’s birthday. The cost of the pizza and soft drinks before sales tax and tip was $47.96. What is the amount of sales tax for the bill if the rate is 7%?

Answers

Answer:

$3.36

Step-by-step explanation:

47.96×7%=$3.357

Answer:

About $3.36

47.96 x 0.07 = 3.3572 rounded up is 3.36

Mrs. James has $40.50 to spend at the store. She wants to buy a dress that costs thirty dollars and necklaces that cost $3.50. How many necklaces can she buy?​

Answers

Answer:

3 necklaces

Step-by-step explanation:

$40.50-$30.00=$10.50   Subtract her total money and cost of dress

$10.50-$3.50=$6.00  subtract each necklace price from remaining money

$6.00-$3.50=$3.50 keep subtracting price of necklace

$3.50-$3.50=$0  that was 3 necklaces

PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELPPPPPPPPPPPP

Answers

Answer:

L=74

W=77

Step-by-step explanation:

Answer:

L=74 and W=77

Step-by-step explanation:

first the area of a rectangle is length of breath

A=L X W

4514= L X 61

61L=4514

L=4514/61

L=74m

b. perimeter =2(L + W)

338=2*92+ 2W

338=184+2W

2W=338-184

2W=154

W=154/2

W=74

7b^2-63b+140 Factor the polynomial (show your work)

Answers

Answer:

7 (b - 5) (b- 4)

plz help i will give brainliest

Answers

Answer:

[tex] m\angle XYZ = 70\degree [/tex]

Step-by-step explanation:

By exterior angle theorem:

4x° = 2x° + 70°

4x° - 2x° = 70°

2 x° = 70°

2x = 70

x = 70/2

x = 35

[tex] m\angle XYZ = 2x\degree [/tex]

[tex] m\angle XYZ = 2\times 35\degree [/tex]

[tex] m\angle XYZ = 70\degree [/tex]

x + 2x +17=25 I need the answer and need do you know how to check if it's right ​

Answers

Answer:

x=8/3

Step-by-step explanation:

x+2x+17=25

3x+17=25

3x=8

x=8/3

Answer:

X = [tex]\frac{8}{3\\}[/tex]

Step-by-step explanation:

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