A cylinder and a cone have the same volume. The cylinder has a radius of 8 inches and a height of 6 inches. The cone has a radius of 12 inches. What is the height of the cone?

Answers

Answer 1

Answer: [tex]8\ in.[/tex]

Step-by-step explanation:

Given

Radius and height of cylinder is 8 and 6 inches

Similarly the radius of cone is 12 inches

If they have same volume

Equate the volume of cylinder and cone

[tex]\Rightarrow \pi r^2h=\dfrac{1}{3}\pi r'^2h'\\\\\Rightarrow \pi \cdot 8^2\times 6=\dfrac{1}{3}\pi \cdot 12^2\times h\\\\\Rightarrow h=\dfrac{64\times 18}{144}\\\\\Rightarrow h=8\ in.[/tex]

Therefore , the height of cone is 8 in.


Related Questions

HELP PLS ITS DUE IN A FEW MIN

Show the relationship between the number of weeks and Mike's savings using an equation. Type your answer starting with either "W=" or "S=".​

Answers

Answer:

S = 50w + 75

Step-by-step explanation:

After each week, Mike gains $50.

Letting w = 0 gives us the amount he started with. In this case, that would be $75.

Therefore, the equation is S = 50w + 75.

Can you please solve this answer ...

Answers

9514 1404 393

Answer:

  ∠SPR = 48°

Step-by-step explanation:

The relevant relations are ...

an inscribed angle is half the measure of the arc it interceptsa triangle inscribed in a semicircle is a right trianglean exterior angle is equal to the sum of the remote interior angles of a triangle

Since PR is a diameter, triangle PQR is a right triangle with angle PQR being the right angle.

This makes ∠PRQ complementary to ∠RPQ:

  ∠PRQ = 90° -28° = 62°

Exterior angle RTS is the sum of interior angles TRQ and TQR, so angle TQR can be found to be ...

  110° = 62° +∠TQR

  ∠TQR = 110° -62° = 48° = ∠SQR

__

Angle TQR, also angle SQR, subtends arc SR, so is the same measure as angle SPR, which also subtends the same arc.

  ∠SPR = 48°

What is the area of the triangle?
12
8

Answers

Answer:

48

Step-by-step explanation:

Answer:

48 un²

Step-by-step explanation:

1/2 ( base x height)

1/2( 12 x 8 )

1/2( 96 )

48

If my answer is incorrect, pls correct me!

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

-Chetan K

a bag contains 517.6 g of dollar coins. Each coin has a mass of 8.1 g

Answers

Answer:

63 coins

Step-by-step explanation:

I am going to assume you are asking how many dollar coins are in the bag, I apologize if I am wrong.

So first, set up the problem. The total number is 517.6 and each coin weighs 8.1

So you would divide 517.6 by 8.1 to get 63.9012346 (which has too many decimal points so round)

But rounding up would get the wrong number because it would be too light for the amount of coins said to be in there, but rounding down gives you 63.

So 63 times 8.1 is 510.3 and the total could consider the weight of the bag into the total 517.6.

Jenna is a 6th grader at CMS. Jenna was told her mean score on social studies quizzes was 94. She remembered getting scores of 97, 88, 90, and 95, but she knew she had taken 5 quizzes. What was her fifth quiz score?

Answers

Answer: 100

Step-by-step explanation:

Since she had a mean score of 94 in her 5 tests, then the total score will be:

= 94 × 5

= 470

Since she She remembered getting scores of 97, 88, 90, and 95, for 4 quizzes out of 5 quizzes, the total of the four quizzes will be:

= 97 + 88 + 90 + 95

= 370

Then, her 5th quiz will be:

= 470 - 370

= 100

What is the solution set for -2n – 2 > 2?

Answers

Answer:

n < -2

Step-by-step explanation:

-2n – 2 > 2

-2n (– 2 + 2) > 2 + 2

-2n > 4

-2n/-2 > 4/-2

n < -2

What is an equivalent expression to 6(a+b)?

Answers

Answer:

6a+6b

by distributive property

Step-by-step explanation:

Answer:

6a+6b

Step-by-step explanation:

6(a+b)

Use the distributive property to multiply 6 by a+b.

6a+6b

I need a fast reply please​

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:A. \:- 8 {b}^{4} + 10 {b}^{3} + 10b}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](7b + 7 {b}^{3} - 6 {b}^{4} ) + (3 {b}^{3} + 3b - 2 {b}^{4} )[/tex]

➼[tex] \: 7b + 7 {b}^{3} - 6 {b}^{4} + 3 {b}^{3} + 3b - 2 {b}^{4} [/tex]

Combining like terms, we have

➼[tex] \: - 6 {b}^{4} - 2 {b}^{4} + 7 {b}^{3} + 3 {b}^{3} + 7b + 3b[/tex]

➼[tex] \: - 8 {b}^{4} + 10 {b}^{3} + 10b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

Are the only bases that I need to use 2 and 4 along with the height 2.5 and I just ignore the 3?

Answers

Answer:

[tex]7.5\ units^2[/tex]

Step-by-step explanation:

The formula to find the area of a trapezoid is the following,

[tex]A=(h)(\frac{(b_1)+(b_2)}{2})[/tex]

Where ([tex]h[/tex]) represents the heights of the trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.

One is given all of these values in the picture,

[tex]h = 2.5\\\\b_1 = 2\\\\b_2 = 4[/tex]

Substitute these values into the formula and solve for the area of the trapezoid,

[tex]A=(2.5)(\frac{(2)+(4)}{2})[/tex]

Simplify,

[tex]=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5[/tex]

Given that √5=2.24 and √7.07, find the value of
(a) √0.05
(b)√0.0005
(c)√0.5
(d)√0.005

Answers

Answer:

0.05 = 5/100

sqrt(0.05] = sqrt(5/100) = sqrt(5)/sqrt(100) = 2.24/10 = 0.224

0.0005 = 5/10000

sqrt [0.0005) = sqrt(5/10000) = sqrt(5)/sqrt(10000) =

= 2.24/100 = 0.0224

0.5 = 50/100

sqrt(0.5) = sqrt(50/100) = sqrt(50)/sqrt(100) = 7.07/10 =

= 0.707

0.005 = 50/10000

sqrt(0.005) = sqrt(50/10000) = sqrt(50)/sqrt(10000) =

= 7.07/100 = 0.0707

Step-by-step explanation:

it would be nice, if you could truly type the full and real question.

you mean sqrt(50) = 7.07

right ?

this assumption leads to the answers above.

solve for x round to the nearest tenth if necessary

Answers

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

what transformation rule represents (-x,-y)

Answers

Answer:

Reflection across the x-axis.

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Given,

The figure given is a rectangle. So, we know that the parallel (opposite) sides of a rectangle are equal to each other.

[tex]•°• \: \: 40 = 5x + 10 \\ 40 - 10 = 5x \\ 30 = 5x \\ \frac{30}{5} = x \\ 6 = x[/tex]

The value of x is 6.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

The figure below shows some angles what is the measure of L ABD?
A, 46
B, 56
C, 90
D, 100

Answers

Answer:

90

Step-by-step explanation:

pleassssssssssssssssssssss help marking as brainlist

Answers

Answer:

C. 32 3/8

Step-by-step explanation:

First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.

Answer:

it would be choice 3

3⅜

Step-by-step explanation:

hope it helps you :)

The expression wA - 36 is equivalent to

Answers

Answer:

4. (w² + 6)(w² - 6)

Step-by-step explanation:

w^4 - 36

(w² + 6)(w² - 6)

how to find x in 64°,50° and 2x​

Answers

Answer:

x = 33 degree

Step-by-step explanation:

angles of a triangle = 64 degree , 50 degree , 2x

64 + 50 + 2x = 180 degree (sum of interior angles of a triangle)

114 +  2x = 180

2x = 180 - 114

x = 66/2

x = 33 degree

to find 2x

=2*33

=66 degree

Answer:

33

Step-by-step explanation:

MARK ME BRAINLIEST THANKS MY ANSWER PLEASE

1+2+4-5= -5+4+2+1

A) True
B False

Answers

Answer:

True

Step-by-step explanation:

same numbers on both sides = equivalent expression

1+2+4 = 7

7-5 = 2

So the first side is 2

-5 + 4 = -1

-1 + 2 + 1 = 2

So the second side is 2

Simplified, this is 2 = 2

This is TRUE because this is an equivalent expression,  demonstrated by the equal sign.

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What is the equation of the asymptote for the exponential function shown on the graph?

Answers

Answer:

B) y=0

Step-by-step explanation:

The exponential function shown has a horizontal asymptote at the line y=0, which means that y will approach 0 as the value of x decreases. Therefore, B is correct.

I could use some help on this​

Answers

Answer:

the answer is B

What is the value of y? (Angle Theorems)

Answers

Answer:

The answer is c (54).

Step-by-step explanation:

68. Find the volume of this square-based
pyramid. (meters)

A. 810 m2
B. 270 m2
C. 405 m3
D. 180 m3
E. 60 m

Answers

Answer:

270 m^2

Step-by-step explanation:

1. Write down your formula.  It is V= 1/3 Bh

2. Plug in your numbers.  Your new formula is V= 1/3 (81)(10)

3. Simplify the expression to get 270.

what is the direction of the vector line w = (-1,6)

Answers

Answer:

Step-by-step explanation:

direction=y-component/x-component

tan theta =6/-1

tan theta=-6

theta=[tex]tan^{-1}[/tex]-6

theta=180 -80.53

theta=99.47°

therefore the direction of the given vector line is 99.47°

please help ill rate you 5 and follow yoy and like maybe even brainlist!
solve , then graph the given inequalities: a) 24.2 − y ≤ 11.2 b) -12.5 + x > 5​

Answers

(a) y >_ 13
(b) x > 17.5

Explanations:

(a)
24.2 - y <_ 11.2
- y <_ 11.2 - 24.2
-y <_ -13
y >_ 13

(b)
- 12.5 + x > 5
x > 5 + 12.5
x > 17.5

(<_ means “less than or equal to” and >_ means “greater than or equal to”)

Match each expression with its sum or difference

Answers

Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

اريد الحل بليززززززز٥س_٣= ٣٧

Answers

Wallahi my guy init

a package of buttons contains 6 red 3 blue and 7 white P(white buttons) Calculate the probability of the event

Answers

I think it’s 1 out of 16

Rahal is adding the Epression below. -3+[(-7)+(-6)] First he rewrites the expression. [3+(-7)]+(6) Which number property did Rashal use to rewrite the expressio?

Answers

Note: The second expression must be [tex][(-3)+(-7)]+(-6)[/tex] instead of [tex][3+(-7)]+(6)[/tex]

Given:

The given expression is:

[tex]-3+[(-7)+(-6)][/tex]

Rahal rewrites the expression as:

[tex][(-3)+(-7)]+(-6)[/tex]

To find:

The property that Rahal use to rewrite the expression.

Solution:

According to the associative property of addition, if a, b and c are three real numbers, then

[tex]a+(b+c)=(a+b)+c[/tex]

We have,

[tex]-3+[(-7)+(-6)][/tex]

Using the associative property of addition, we get

[tex]-3+[(-7)+(-6)]=[(-3)+(-7)]+(-6)[/tex]

Therefore, the required property is associative property of addition.

Help










Nxhxhxhdhdhdbsbsbdhdhd

Answers

your answer is number 2 it is 38.2 because 26 out of 68 is a percentage of 38.24

A 45 gram sample of a substance that's used to sterilize surgical equipment has a
K-value of 0.1483.
Find the substance's half-life, in days. Round your answer to the nearest tenth.
Answer:

Answers

Answer:

t = 4.7 days

Step-by-step explanation:

The half life formula is

N = No * e ^ (-kt)

Where No is the initial amount of the substance

N = 45 e ^ (-.1483 t)

We want 1/2 of the substance left

22.5 is half of 45 grams

22.5 = 45 e ^ (-.1483 t)

Divide each side by 45

1/2 = e ^ (-.1483 t)

Take the natural log of each side

ln(1/2) = ln (e ^ (-.1483 t))

ln(1/2) = -.1483t

Divide each side by -.1483

ln(1/2) / -.1483 = t

t=4.67395

Rounding to the nearest tenth

t = 4.7 days

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