The cone and cylinder above have the same radius and height. The volume of the cone is 162 cubic inches. What is the volume of the cylinder?

A. 54 cubic inches

B. 81 cubic inches

C. 324 cubic inches

D. 486 cubic inches

Answers

Answer 1
The answer is D because if a cone and a cylinder have the same radius and height, the volume of a cone is 1/3 of the volume of a cylinder. So you would need to multiply 162 by 3 to get the volume of the cylinder, which is 486
Answer 2

The volume of the cylinder is 486 cubic inches.

What is Volume?

Volume of a three dimensional shape is the space occupied by the shape.

Given that,

Radius and height of the cylinder and the cone are same.

Let r and h be the radius and height of each of the cylinder and the cone.

Volume of the Cone = [tex]\frac{1}{3}[/tex] π r² h

Volume of the cylinder = π r² h

We have, volume of the cone is 162 cubic inches.

[tex]\frac{1}{3}[/tex] π r² h = 162

Multiplying both sides by 3,

π r² h = 162 × 3

π r² h = 486 cubic inches

Hence the volume of the cylinder is 486 cubic inches.

Learn more about Volume here :

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Related Questions

HELP IM STUCK ON TWO MATH QUESTION
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Answers

The answer to this particular math question is-
It’s is *screen crashes*

−3√27−2√2−3√45−√18 simplify

Answers

Answer:

Step-by-step explanation:

Prime factorize 27 , 45 and 18

[tex]-3\sqrt{27}-2\sqrt{2}-3\sqrt{45}-\sqrt{18}=-3\sqrt{3*3*3}-2\sqrt{2}-3\sqrt{3*3*5}-\sqrt{3*3*2}\\\\=-3*3\sqrt{3}-2\sqrt{2}-3*3\sqrt{5}-3\sqrt{2}\\\\=-9\sqrt{3}-2\sqrt{2}-9\sqrt{5}-3\sqrt{2}\\\\=-9\sqrt{3}-9\sqrt{5}-2\sqrt{2}-3\sqrt{2}\\\\=-9\sqrt{3}-9\sqrt{5} + (-2-3)\sqrt{2}\\\\=-9\sqrt{3}-9\sqrt{5} - 5\sqrt{2}[/tex]

the answer is -9√3−5√2−9√5.

The taillight of a car is in the shape of a kite whose diagonals are both 15 centimeters. How many square centimeters does the kite occupy?

30
56.25
112.5
225

Answers

The answer is 30
Have a great day!!

Which of the following sets shows all the numbers from the set {0, 0.5, 1, 2.5, 3} that make the inequality 2a + 3 ≥ 8 true?

{2.5, 3}
{1, 2.5, 3}
{0, 0.5, 1}
{0.5, 1}

Answers

Answer:

A

Step-by-step explanation:

it can't be any answer with 0, because when you substititue the variable a with 0, it simplifies to 3 ≥ 8 which is false, so C and D are incorrect. it also can't be B since when you substitue a with 1 it simplifies to 6 ≥ 8 which is also false. therefore A is the correct answer, hope this helps :)

Answer:

{2.5, 3}

Step-by-step explanation:

2a + 3 ≥ 8

2a + 3 - 3 ≥ 8 - 3

2a ≥ 5

[tex]\frac{2a}{2}[/tex] ≥ [tex]\frac{5}{2}[/tex]

a ≥ 2.5

From the expression above, a is equal to 2.5 and any number above 2.5

∴The answer is {2.5, 3}

Pls mark as brainliest

The first person to answer this correctly with an explanation gets Brainiest.

Answers

Answer:

1.) The height of the cone is 10 and the volume is 2355

2a.) Height 5= Volume 1177.5.

2b.) Height 30= Volume 7065

3.) (I'm not exactly sure because I haven't done this in a while.)

I guess 30= diameter

4.) 1 unit of height = 235.5 units of volume

Sorry if i messed up 3 or 4. I haven't calculated this stuff in a while.

Step-by-step explanation:

1.) It says the height of the cone on the horizontal ray and volume of the cone of the vertical ray.

2.) Divide 10 by 2 to get 5 height - Divide 2355 by 2= 1177.5

2b.) Multiply 10 by 3= 30 height - Multiply 2355 by 3= 7065

3.) r= √3× (V ÷ h) subtitute: r= √3× (2355 ÷ 3.14× 10)

simplify: r= 14.99... Diameter = 2 radius so about 30

4.) Divide 2355 by 10 to get the unit ratio. 1 unit of height is 235.5 volume.

A restaurant manager uses the expression 7.85m + 8.85d to calculate his profit when he sells m main courses and d desserts. What is the restaurant manager's profit, in dollars, when he sells 45 main courses and 43 desserts?

Answers

Answer:733.8 dollars in profit

Step-by-step explanation:

hope this helps :)

Use either the commutative property or combine like terms to create an equivalent expression
from the expression 9(2j + 5j).

Answers

Answer:

9(7j)/63j

Step-by-step explanation:

9(2j+5j)

= 9(7j)

= 63j

Okay so first you would want to mutiply 9 and 2 which gets you 18j the multiply 9 and 5 which gets you 45j then add like terms which in this case is 45j and 18j that will get you 63j and that’s your answer.

Create an expression that is equivalent to 7x + 4x + x, using the fewest terms

Answers

12x cause 4+7+1 equals 12 so 12x
The answer is
11x+x
Because if you add 7x+4x it makes 11x and we can’t add the other variable

(EASY POINTS) Answer num: 5 with a detailed explanation. :)

Answers

Answer:

There is no picture

Step-by-step explanation:

Commutative property of multiplication: Changing the order of factors does not change the product. ... Associative property of multiplication: Changing the grouping of factors does not change the product.

An adult short-eared owl weighed 1/2 pound. A baby short-eared owl weighed 2/9 pound. What was the total weight of the two owls?

Answers

Total weight of the two owls are 2/3

PLEASE HELP I WILL GIVE BRAINLISET TO RIGHT ANSWER!!

Line A passes through the points (3,4) and (-1,2). Line B passes through the points (-12,0) and (-6,-4). At what point do the lines intersect?

Answers

according to what you typed it should be (1/7 , 18/7).
1/7 18/7 that’s the answer in my opinion

There is approximately 3.3 x 10*8 people in the United States of America in 2018. The average person consumed about 3.4 x 10*2 milligrams of sodium each day. Approximately how much sodium was consumed in the USA in one day in 2018?

Answers

(3.3 x 10^8) x (3.4 x 10^2) = 1.22 x 10^11

the mass of a monarch butterfly is 0.56 g what is the mass of 4 monarch butterflies?

Answers

You multiply .56x4 or add .56 4 times. The mass of all 4 monarch butterflies is 2.24

The solution is: The mass of all 4 monarch butterflies is 2.24

Here, we have,

the mass of a monarch butterfly is 0.56 g,  we nee to find  the mass of 4 monarch butterflies

if 1 butterfly is 0.56 grams,

then 4 must be 0.56 x 4.

                        =2.24

we multiply .56x4 = 2.24

or add .56,  4 times.

i.e. .56 + .56 + .56 + .56 = 2.24

The mass of all 4 monarch butterflies is 2.24

we have worked out the answer :

0.56 x 4 = 2.24g

Hence, The solution is: The mass of all 4 monarch butterflies is 2.24

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Help fast don’t understand

Answers

Answer:

Part A: (-3, -2) and (4, 3)

Part B: 24 units

Help me PLEASEEEEEEEEEEEE :C

Answers

Answer:

im thinking number #A but it also d

Answer:

C. Negative correlation

Step-by-step explanation:

I hope this is correct,

Have a nice day!!

Please help solve this!

Answers

Answer:

There’s nothing to solve?

Step-by-step explanation:

There are no answer for your question

mm... help please. I need to finish this homework, and I'll give brainliest since I'm numb.

Answers

Answer:

I think graph represent x>2. or (2,infinity)

Is it’s x>2 because I’m very nice

which way do i turn it and wut are my points? will give brainliest

Answers

Answer:

Average age of 6 boys is 12 years. The average age of 4 other boys is 18 years. Find the average age of all 10 boys.

A

12 years

Step-by-step explanation:

Please help if you dont mind!

Answers

Answer:

A=6x11

Step-by-step explanation:

A=bxh

im stuck on these 2 questions

Answers

Answer:

In the first question it is the 2nd table. On the second it is : No, the xost of the 9 shirts is incorrect

Answer:In the first question it is the 2nd table

Step-by-step explanation:

Please help, It's 7:54 and I'm tired.

Answers

Answer:

195 cubic

Step-by-step explanation:

just multiply the area

7.5x13= 97.5

97.5x2

=195 cubic in

How much larger is the 8 in 8,237 than the 8 in 823.7?

Answers

Answer:Since the 8 in the first number is in the thousands place, its value it 8*1000=8000

8000 is ten times 800.

Step-by-step explanation:

The 8 in 8,237 is in the thousands place. On the other hand, the 8 in 823.7 is in the hundreds place.

8 • 1,000 = 8,000

8,000 is TEN times 800.

I hope this helped! ~(^v^)~

HELP ME GOING TO BE ON A TESTTTT!!!!!!!!!!!!!!!!

Answers

Answer:

, x=6

Step-by-step explanation:

5(6+y) =30 +5y

5(y+x) =5y +5x

So 5 x 6 is 30

help pls i don't do good on these

Answers

Answer:

its 90

Step-by-step explanation:

don't feel like explaining

This triangle is a multiple of one of the triples listed here. What is the hypotenuse?

Answers

Answer:

50 units

Step-by-step explanation:

you use Pythagorean-theorem  which means A^2+B^2 =C^2

It does not matter the order of A and B because it is adding. But C is the hypotenuse.

If we plug in the # this is what it looks like...

14^2 +48^2=C^2

        or

48^2+14^2=C^2

14*14= 196

48*48=2,304

then you add

196+2,304=C^2

2,500= C^2

and you can use a calculator for this part you do 2,500

with the 2,500 you use the sign as in the picture and it gives you...

50

which means 50*50 = 2,500

50 units is the answer

HELP I NEED THIS IN A BIT, ITS FOR MATH SOMEONE HELP ME PLEASEEE

Answers

2. The correct answer would be 34

3. Jada’s mistake is she did not divide first / the correct answer is 8

Answer:

What is jada's mistake?

Is she make plus first not divided as its wrong she should substitute first by 30 and then divided it so it goes as

Step-by-step explanation:

30÷6 then answer (5) + 3

That's the correct one

can u plz help me on this plz.

Answers

Answer: no questions

Step-by-step explanation:


Please help please give me the answers

Answers

Answer:

oh my i cant see can you put a clearer vison my eyes hurt seeing alot blue sorry heh

Step-by-step explanation:

4. B=32
5. D=43
6. F=2
7. H=3
8. Can’t see
9. M=42

Simplify: 26 • -5

Giving brainliest^^

A) 130
B) 21
C) -105
D) -130

Answers

the answer is D) -130

Answer:

D, -130

Step-by-step explanation:

26 X (-5) = -130

HELP WILL GIVE BRAINLIST

Answers

Answers:

a. diagram b

b. 10.4 - 2.6 = x

c. x = 7.8

d. the solution to the equation is the amount of water (in liters) that was originally in the pitcher.

Explanation:

a. the answer is diagram b because the pitcher "then" contained 10.4 liters, meaning the 2.6 liters added contributed to the total of 10.4 liters.

b. this was derived from the diagram.

c. 10.4 - 2.6 = 7.8, so x = 7.8

i hope this helps! :D

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