find the height of a cone when its diameter is 8 inches and the volume is 100 cubic inches

Answers

Answer 1

Answer:

[tex]\frac{75}{4\pi }[/tex] inches or approximately 5.97 inches  

Step-by-step explanation:

Use the cone volume formula: V = [tex]\pi[/tex][tex]\frac{h}{3}[/tex]

The diameter is 8 inches, so the radius will be 4 inches.

Plug in the radius and volume, and solve for h

V = [tex]\pi[/tex]r²[tex]\frac{h}{3}[/tex]

100 = [tex]\pi[/tex](4²)([tex]\frac{h}{3}[/tex])

100 = 16[tex]\pi[/tex][tex]\frac{h}{3}[/tex]

Divide each side by 16[tex]\pi[/tex]

[tex]\frac{25}{4\pi }[/tex] = [tex]\frac{h}{3}[/tex]

Cross multiply and solve for h:

4[tex]\pi[/tex]h = 75

h = [tex]\frac{75}{4\pi }[/tex]

So, the cone's height is [tex]\frac{75}{4\pi }[/tex] or approximately 5.97 inches  


Related Questions

y−3=5(x−2) what is the slope?

Answers

Answer:

y=5(x-2)+3 or y= 5x+7

Step-by-step explanation:

Need help! much appreciated

Answers

Answer:

C-D = 6

A-B = 3.25

D = 118

Step-by-step explanation:

C-D = 6 because the line is the same as B-C

A-B = 3.25 because the line is the same as A-D

D = 118 because the angle of B is vertically opposite to D

help!!!!!!!!!!!!!!!!!!!!!!!!!!!! asap!!!!!!!!!!! 50 pts and brainliest!

Answers

Answer:

-5/4

Step-by-step explanation:

Pick two points on the line

(-4,0) and (0,-5)

We can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -5 -0)/(0 - -4)

    = (-5-0)/(0+4)

    = -5/4

Answer: -5/4

Step-by-step explanation:

Pick two points on the line

(-4,0) and (0,-5)

We can use the slope formula

m = (y2-y1)/(x2-x1)

  = ( -5 -0)/(0 - -4)

   = (-5-0)/(0+4)

   = -5/4

- Chilio

For which the value of f(x) = 2x^2 + 9 will be the same as g(x) = 3^x?

Answers

Answer:

For [tex]x = 3[/tex] the value of [tex]f(x) = 2\cdot x^{2}+9[/tex] will be the same of [tex]g(x) = 3^{x}[/tex].

Step-by-step explanation:

To determine for which value of [tex]x[/tex], we need to apply the following identity ([tex]f(x) = g(x)[/tex]) and solve numerically the resulting expression:

[tex]2\cdot x^{2}+9 = 3^{x}[/tex]

[tex]3^{x}-2\cdot x^{2}-9=0[/tex] (1)

A quick approach is using graphic tool and looking for the value of [tex]x[/tex] such that  [tex]3^{x}-2\cdot x^{2}-9=0[/tex]. The result of the analysis is included below in the attached image. We find the following result:

[tex]x = 3[/tex]

For [tex]x = 3[/tex] the value of [tex]f(x) = 2\cdot x^{2}+9[/tex] will be the same of [tex]g(x) = 3^{x}[/tex].

hehe guess it right;)

Answers

Answer:

I don't understand this at all but I wanted to take a stab at it anyway.

It's not an even number, it's less than 50, it has to be divisible by six or three in order to be 5 more than a perfect square, and it has to be two or three digits that equal 40.

Sounds hard.

Okay first I want to get all the odd numbered equations that could equal 40

1+39      19+21

3+37      17+23

5+35      15+25

7+33      

9+31      

11+29    

13+27    

This is taking so much brain power, wow... So none of those so far would work, which makes me think that it would be a single digit equation to make it double digit, but nothing, not even 9+9 equals 40, so at least one of the numbers would have to be double digit but that makes no sense because then the number would have to have three digits, which makes it more than 100!

This is impossible. I think I have to rephrase my answer above in saying that the number has to be more than 100, but that means I have no idea what that first line means...

I'm so frustrated by this imao... Asker of the question, if you've figured out the answer please let me know because I am so confused.

Answer:

I DONT KNOW

Step-by-step explanation:

hehe

Q6 What is the greatest number of parts of a circle What's the greatest number that can be formed by cutting the circle with 7 straight cuts? (NOTE: the parts do NOT have to be equal in size)
A) 14
B) 21
D) 29
C) 27

Answers

29
I know because I did it

PLZ HELP!!!!!!



What is the quotient ? 1 O 73 O 78

Answers

sorry im on my school computer so the picture is blocked :(

Answer:

A.) 1/7^8

Step-by-step explanation:

guy in the comments said it and i got it write, so this is for the people that cant see the comments.

Factor completely please. 3k^2-19k+20

Answers

3k^2-4k-15k+20
k(3k-4)-5(3k-4) /factor out (3k-4) from it
=> (3k-4)(k-5)

Answer:

3(k*k)-3(3k)-5(2k)+2(5+5)

Step-by-step explanation:

3k²-19k+20

Just find some number that equal the terms when multiplied. ¯\_(ツ)_/¯

DOUBLE CHECK!

3(k*k)-3(3k)-5(2k)+2(5+5)

Multiply what you need to.

3k²-9k-10k+20

Combine like terms.

3k²-19k+20

---

hope it helps

You Got to Leon and mango house and you decide to eat them, You Eat Mango 328 Times And You eat Leon 338 Times. How many times did you eat my friends leon and mango today? Dana Says That 60 Times And I Say That 666 Times.... Say Your answer Down below

A. 60 Times

B. 11 Times

C. 100 Times

D. 666 Times

PLEASE HOW YOUR WORK!

Answers

Answer:

The answer for the question is 666

Step-by-step explanation:

328+338=666

Answer:

666

Step-by-step explanation:

328+338=666

i ate ur friends 666 times

A dartboard has 20 equally divided wedges, and you are awarded the number of points in the section your dart lands in. If you are equally likely to land in any wedge, what is the probability you will score 10, 11, or 12 points?

Answers

Answer: 10 points

Step-by-step explanation:

Find the area of the triangle below.

Answers

Answer:

20.25

Step-by-step explanation:

Just multiply the base and height then divide the results in half.

Hope this helps!

Frank owns a $141,000 home, for which he has a 30-year mortgage in the
amount of $700 a month. Once he has paid off the mortgage, how much will
he have paid in interest?
A. $111,000
B. $120,000
C. $141,000
D. $109,000

Answers

Answer: the answer is A !!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

After paying off the mortgage, Frank will have accrued interest costs of $111,000 in total. $111,000 is the correct response.

What is compound interest?

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest. [tex]A = P(1 + r/n)^{nt[/tex], where P is the principal balance, r is the interest rate, n is the number of times interest is compounded annually, and t is the number of years, which is the formula for compound interest.

The total amount paid by Frank over 30 years will be the product of the monthly payment and the number of months in 30 years:

The total amount paid = Monthly payment × Number of months

Total amount paid = $700/month × 12 months/year × 30 years

Total amount paid = $252,000

However, this total amount includes both the principal (the original loan amount of $141,000) and the interest. To find the amount of interest paid, we need to subtract the principal from the total amount:

Interest paid = Total amount paid - Principal

Interest paid = $252,000 - $141,000

Interest paid = $111,000

Therefore, Frank will have paid $111,000 in interest once he has paid off the mortgage. The answer is A. $111,000.

Learn more about compound interest here:

https://brainly.com/question/29335425.

#SPJ5

What is the measure of angle C?

Answers

Answer:

angle C = 36°

Step-by-step explanation:

Fun fact that I found out:

all interior angles of a triangle added together = 180°

5x + 3x + 2x = 180°

combine like terms:

10x = 180°

divide both sides of the equation by 10:

x = 18°

angle C = 2(18°) = 36°

Help me plz. I need this done TODAY.

Answers

how much does each thing cost u didn’t tell us

Plsssss helps 50 points

Answers

Answer:

2000.2 cm³

Step-by-step explanation:

Finding the volume of a cylinder is quite simple if you under what pi (3.14) is. You can watch khan academy. It has some useful videos on solving for volume. It also explains very well. Hope this helps!

2 questions i need help with thanks!

Answers

Answer:

c for both

Step-by-step explanation:

If $120.99 is charged for 654 units of electricity used,find the cost of one unit of electricity

Answers

Answer:    0.185

Step-by-step explanation:

Divide 120.99 and 654:

120.99÷654=0.185

So the final answer is 0.185 units.

The Fast Repair Shop charges a $25 fee plus $30 an hour for labor. Write the equation for the cost of the repair job, y, if the repair job took x hours.​

Answers

Answer:

y=30x+25

Step-by-step explanation:

y=mx+b (slope-intercept formula)

y= amount of money per hour of labor

m= 30 (amount per hour, slope)

b= 25 (y-intercept, starting rate)

Could someone plz help and show work? Thanks

Answers

Answer:

3 cm

Step-by-step explanation:

The answer is 3.......

Evaluate the expression when a=-2 and x=6. \

4x-a

Answers

Answer:

26

Step-by-step explanation:

Given

4x - a ← substitute a = - 2, x = 6 into the expression

= 4(6) - (- 2) [ note - (- ) is equivalent to + ]

= 24 + 2

= 26

(x – 6)2 = y + 7, find the vertex.

Answers

Would be the answer 16

You have 64 grams of a radioactive kind of strontium. If its half-life is 6 hours, how much will be left after 3 hours?

Answers

Answer: 48 grams

Step-by-step explanation:

The half-life of an element refers to the amount of time that it takes for half of it to decay.

For instance, if the half life is 2 hours and the element weighs 12 g, the element will only weigh 6g after 2 hours.

The half-life of the above is 6 hours, in 3 hours therefore, it would only have lost of the half that it would have lost in 3 hours which means it would have lost only a quarter.

= 64 * ( 1 - 1/4)

= 48 grams

Find the total surface area.

Answers

Answer:

42.33+49.8

Step-by-step explanation:

add sides man i think

Answer:

Step-by-step explanation:

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

a = √39 (exact)

a = 6.24 (dec.)

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 5^2 = 8^2

a^2 + 25 = 64

a^2 = 39

a = √39 (exact)

a = 6.24 (dec.)

Can someone please explain how to do this i am so confused i just want to pass this class please :(

Answers

Answer:

x=6√3

Step-by-step explanation:

In 30-60-90 triangles, if the hypotenuse is x, the longest leg is [tex]\frac{x}{2}[/tex], and the shortest leg is [tex]\frac{x\sqrt{3} }{2}[/tex].

If the longest leg is 6, then [tex]\frac{x}{2} =6[/tex]

Multiply by 2,

[tex]x=12[/tex]

If x=12,

[tex]\frac{12\sqrt{3} }{2}[/tex]

[tex]=6\sqrt{3}[/tex]

So, the shortest leg is 6√3.

i don’t know the answer please help

Answers

It’s 60 why cus I know it’s 60

Martha rolls a 6 sided number cube (number one through six) two times. What is the probability she will roll a 3 both times?

Answers

Answer:

2/12

Step-by-step explanation:

since there are six sides, rolling twice will give you a total of 12 possibilities, each time, you have 1 chance out of 6 each time to roll 3

1/6 + 1/6 = 2/12

If you want to, or need to reduce 2/12, divide both the numerator and denominator by two, and you will get 1/6 again.

Will be marking brainliest for the correct answer!!

Maximum answers is 3, so please 3 of the following ^^

Answers

Answer:

x = 6

11/2x + 2/3x = 37

37/6x = 37

Step-by-step explanation:

these are correct since when you evaluate the equation, you only get 6 being the value for x. And all these three options I wrote above lead to x = 6

Hope this helped :)

What is -3/5 multiplied by 4/7?
Pls show answer with step by step answers explained pls

Answers

Answer:

-12/35

Step-by-step explanation:

-3×4/5×7

-12/35

A line has a slope of 2/3 and y-intercept of (0,3). Which of the following represents the equation of the line?​

Answers

Answer:

just believe and ask for forgiveness

Step-by-step explanation:

god lovesyou amen you shall pass

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