A cylinder has a helght of 16 cm and a radius of 5 cm. A cone has a helght of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder
as shown, what is the volume of the alr space surrounding the cone Inside the cylinder? (Use 3.14 as an approximation of pl.)
OA 452.16 cm
OB.
840.54 cm
OC 1,055.04 cm
OD. 1,456.96 cm

Answers

Answer 1

Answer:

1055.04 cm³

Step-by-step explanation:

Given that,

Height of a cylinder, h = 16 cm

Radius of the cylinder, r = 5 cm

The height of a cone, h' = 12 cm

The radius of a cone, r' = 4 cm

The volume of the cylinder will be :

[tex]V=\pi r^2 h\\\\=3.14\times 5^2\times 16\\\\=1256\ cm^3[/tex]

The volume of a cone is given by :

[tex]V'=\dfrac{1}{3}\pi r^2 h\\\\=\dfrac{1}{3}\times 3.14\times (4)^2\times 12\\\\=200.96\ cm^3[/tex]

Volume of the air surrounding the cone Inside the cylinder = 1256 - 200.96 = 1055.04 cm³

Hence, the required answer is equal to 1055.04 cm³.


Related Questions

What’s this answer? please help me

Answers

Answer:

A. About 1/3 of the people prefer pie without ice cream

Step-by-step explanation:

We know there were 80 people surveyed, so that's our denominator. Pie without ice cream is the bottom row. 15 + 12 = 27. 27/80 = 0.3375, which is 33.75% (multiply 0.3375 by 100), which is about 1/3.

B is wrong, because the blueberry pie numbers are not double the cherry pie numbers

C is wrong because cherry with ice cream is 24, blueberry without is 15

D is wrong because the ratio of blueberry to cherry is 44:36, and with ice cream to without is 53:27

Ill give brainllest
what is 18+26+37+36+8+28?

Answers

Answer:

153

Step-by-step explanation:

Answer:

18+26+37+36+8+28 = 153

hope this helps!

What is the area of the kite

Answers

Answer: what kite can you put the pic

Step-by-step explanation:

Answer:

The area of a kite measures the space inside the four sides. The most common way to find the area is by using the formula A = xy/2, where x and y are the lengths of the diagonals.

Step-by-step explanation:

plz mark me brainlest

Sam and Jeremy have ages that are consecutive odd integers. The product of their ages is 399. Find the numbers.

Answers

Answer:

The answer is 3

Step-by-step explanation:

Find 2a for a = 3-
4
= 34

Answers

Answer:

68

Step-by-step explanation:

2a

2x34(adding value of a)

68

PLZ ANSWER FAST WILL GIVE BRAINLIEST Find the value of x.
148

Answers

74 degrees

Angle x is 1/2 of the corresponding arc. So 148/2 = 74

what is 6÷2 squaredwhat is 6 ÷ 2 squared ​

Answers

Answer:

(6/2)² = 3² = 9

6²/2² = 36/4 = 9

Answer:

9

Step-by-step explanation:

6/2 is 3

squaring three we get 3 to  the power of two or 3x3

3x3=9

3 squared is 9

Is 3^5 the same as 3 * 5

Answers

Answer:

No.

3^5 is multiplying 3, 5 times

3 x 5 is multiplying 3 by 5.

Step-by-step explanation:

Answer:

no 3^5 is not the same as 3×5.

Step-by-step explanation:

3×3×3×3×3=243

3×5=15

You deposit $2000 in an account that earns 5% annual interest compounded quarterly Find the balance after five years. Show work.

Answers

500 , 2000x.05 is 100 10x5 = 500

If \orange{\angle ADC}∠ADCstart color #ffa500, angle, A, D, C, end color #ffa500 measures 23^\circ23 ∘ 23, degrees, what does \blue{\angle ABC}∠ABCstart color #6495ed, angle, A, B, C, end color #6495ed measure?

Answers

Answer:

23 degrees

Step-by-step explanation:

First add a diameter. The triangle \pink{ABD}ABDstart color #ff00af, A, B, D, end color #ff00af is isosceles as \pink{AB}ABstart color #ff00af, A, B, end color #ff00af and \pink{BD}BDstart color #ff00af, B, D, end color #ff00af are radii, so must be equal. Therefore, \pink{\angle{BAD}}∠BADstart color #ff00af, angle, B, A, D, end color #ff00af and \orange{\angle{ADB}}∠ADBstart color #ffa500, angle, A, D, B, end color #ffa500 are equal. Since, the angles in a triangle sum to 180^\circ180   180∠ABD+∠BAD+∠ADB∠ABD+2⋅∠ADB∠ABD===180∘180∘180∘−2⋅∠ADB

So, \blue{\angle{ABE}} = 2 \cdot \orange{\angle{ADB}}∠ABE=2⋅∠ADBstart color #6495ed, angle, A, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, B, end color #ffa500. We can also create an isosceles triangle, \pink{BCD}BCDstart color #ff00af, B, C, D, end color #ff00af.Using the same argument we can find that, \blue{\angle{CBE}} = 2 \cdot \orange{\angle{CDB}}∠CBE=2⋅∠CDBstart color #6495ed, angle, C, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, C, D, B, end color #ffa500.∠ABC=∠ABE−∠CBEstart color #6495ed, angle, A, B, C, end color #6495ed, equals, start color #6495ed, angle, A, B, E, end color #6495ed, minus, start color #6495ed, angle, C, B, E, end color #6495ed

\orange{\angle{ADC}} = \orange{\angle{ADE}} - \orange{\angle{CDE}}∠ADC=∠ADE−∠CDEstart color #ffa500, angle, A, D, C, end color #ffa500, equals, start color #ffa500, angle, A, D, E, end color #ffa500, minus, start color #ffa500, angle, C, D, E, end color #ffa500

Hint #1010 / 11

Since \blue{\angle{ABE}} = 2 \cdot \orange{\angle{ADE}}∠ABE=2⋅∠ADEstart color #6495ed, angle, A, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, E, end color #ffa500 and \blue{\angle{CBE}} = 2 \cdot \orange{\angle{CDE}}∠CBE=2⋅∠CDEstart color #6495ed, angle, C, B, E, end color #6495ed, equals, 2, dot, start color #ffa500, angle, C, D, E, end color #ffa500, \blue{\angle{ABC}} = 2 \cdot \orange{\angle{ADC}}∠ABC=2⋅∠ADCstart color #6495ed, angle, A, B, C, end color #6495ed, equals, 2, dot, start color #ffa500, angle, A, D, C, end color #ffa500

Hint #1111 / 11

So, \orange{\angle{ADC}} = \frac{1}{2} \cdot \blue{46^\circ} = 23^\circ∠ADC=  

2

1

​  

⋅46  

=23  

start color #ffa500, angle, A, D, C, end color #ffa500, equals, start fraction, 1, divided by, 2, end fraction, dot, start color #6495ed, 46, degrees, end color #6495ed, equals, 23, degrees

how many ounces does a cat drink each day?

Answers

Answer:

You mean ounces of water yes?

Cats drink between 5 to 10 fluid ounces of water per day

Step-by-step explanation:

Cats need between 3.5-4.5 ounces of water per 5 pounds of body weight per day. So if you have a 10 pound cat, then they should be consuming between 7-9 ounces per day

Line w passes through the coordinate points (3,1) and (−6, −2). What is the slope of w?
F. −3
G. −1/3
H. 1/3
J. 1
K. 3

Answers

the answer will be H. 1/3

Michelle will sell her homemade necklaces for $8 each at a craft fair. It costs her $150 for the booth rental at the craft fair.
She made 200 necklaces to sell.
Part B Michelle wants to graph the equation for her profit from selling her necklaces. The y-intercept of this graph will be
her profit from selling none of her necklaces.
What is the y-intercept of the graph of the equation that represents Michelle's profit from selling her necklaces?

Answers

Answer:

The y-intercept is y = -$150

Step-by-step explanation:

We know that:

Each necklace is sold for $8.

The total cost for Michelle is $150.

The profit equation is:

Profit = Revenue - Cost.

We already know that Cost = $150

The revenue will depend on x, the number of necklaces sold, so if each one costs $8, and she sells x of them, the revenue is:

Revenue = $8*x

Then the profit, as a function of x, is:

y = P(x) = $8*x - $150

Where y represents the profit.

Now we want to find the y-intercept of the profit equation, where the y-intercept is the y-value when we use x = 0

Then the y-intercept is:

P(0) = $8*0 - $150 = -$150

Also the graph of the equation can be seen below, where you need to remember that x can be any value in [0, 200] and only can be an integer.

So you only need to graph the line between x = 0 and x = 200.

40 students at a particular school are randomly selected for a survey. 18 have blue eyes. If there are 400 students at this school, what is a reasonable estimate of the total number of students with blue eyes?

Answers

a reasonable estimate would be 180 students with blue eyes

Answer:

180 students have blue eyes

Step-by-step explanation:

If 18/40 students have blue eyes, when the total number rof students is 400

18/40 × 400=180

Simplify 2x^2-7x-4/x^2-5x+4 What are the excluded values

Answers

Answer:

x = 1

Step-by-step explanation:

Given

[tex]\frac{2x^2-7x-4}{x^2-5x+4}[/tex] ← factor numerator and denominator

= [tex]\frac{(x-4)(2x+1)}{(x-4)(x-1)}[/tex] ← cancel (x - 4) on numerator/ denominator

= [tex]\frac{2x+1}{x-1}[/tex]

The denominator of the rational expression cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that x cannot be.

x - 1 = 0 ⇒ x = 1 ← excluded value

Answer:

On edge it is D, 1 and 4

Step-by-step explanation:

Why was it impossible to find this answer

(–8) • (–4)

PLEASE STEP BY STEP ASAP

Answers

Answer:

32

Step-by-step explanation:

A negative number multiplied by a negative number is a positive number, so just multiply 8 by 4 to get the answer, 32.

Hopefully this helps - let me know if you have any questions!

Could someone please help me with me two previous math questions?? Thx!!

Answers

I d k ok soourrrrru okokikokkkkk

Sure what questions :)

True or False:

(2x2 - 3x) - (4x2 - x) = -2x2 - 2x

Answers

Answer:

True??????? I guess

Step-by-step explanation:

Answer

It is true

you just solve for x on the left side first then the same on the right they should be the same

i think this is how i would do it

The perimeter of a rectangle is 202020 centimeters. The length is 666 centimeters. What is the area of the rectangle?

Answers

Answer: 24 cm²

Step-by-step explanation:

To find the area, first find the width of the rectangle.

Perimeter = (2 * Length) + (2 * Width)

20 = (2 * 6) + (2w)

20 = 12 + 2w

2w = 20 - 12

w = 8/2

w = 4 centimeters

Area = Length * Width

= 6 * 4

= 24 cm²

The rectangle below has an area of x ^ 2 - 16 square meters and a width of x + 4meters . What expression represents the length of the rectangle?

Answers

Answer:

length=x-4

Step-by-step explanation:

an initial population of 327 pheasant increases at an anual rate of 15% write an exponential function to model the quail population

Answers

Answer:

y= 327(0.85)^t

Step-by-step explanation:

Given data

Initial Population= 327

Increase= 15%

The model for an exponential function is represented as

y= P(1-r)^t

Substitute

y=327(1-0.15)^t

y= 327(0.85)^t

HELP PLS
have this math assignment due in an hour

Answers

30.- 12*9/2 = 54

29.- 20*16/2 = 160

16.- The number one

And last image 343yd

Given that a - b = 3 and ab=5, find, without the use of a calculator,
the value of a +b?

Answers

Answer:

√29

Step-by-step explanation:

We are here given that ,

a - b = 3 ab = 5 .

Now square the first equation ,

⇒ a - b = 3

⇒ ( a - b)² = 3²

⇒ a² + b² - 2ab = 9

⇒ a² + b² - 2(5) = 9

⇒ a² + b² -10 = 9

⇒ a² + b² = 9 + 10

⇒ a² + b² = 19

Adding 2ab both sides ,

⇒ a² + b² + 2ab = 19 + 2(5)

⇒ (a + b)² = 19 + 10

⇒ ( a + b)² = 29

a + b = 29 .

pls help me with all the questions

Answers

I hope this helped.

Just in case if you didn’t understand what I did. What I basically did is multiply my outer number into the inner.

May someone help me please

Answers

Answer:

Soccer:3 dollars

Basketball:4dollars

Step-by-step explanation:

Answer:

Step-by-step explanation:

12 + x/4 = 9
Simplify Plz need ASAP

Answers

Answer: X = -12

Step-by-step explanation:  1)  12 + x/4 = 9

                                              2)  12 + x/ 2^2 = 9

                                              3)   x/ 2^2  + 12 = 9  

What the value of b?

Answers

Answer:

Hope it helps you!...........

Please help me...
An asymptote is _____.

A. a line that crosses the function
B. a line that the graph gets very, very close to, but never crosses or touches
C. line that intercepts the y-axis
D. a line that intercepts the x-axis

Answers

Answer:

a line that the graph gets very, very close to, but never crosses or touches

Step-by-step explanation:

Just in case anyone was confused by the previous answer.

Find the volume of the cylinder

What is the exact volume in terms ofx?

What is the approximate volume using 3 14 forx?​

Answers

9514 1404 393

Answer:

  5000π mm³ ≈ 15,700 mm³

Step-by-step explanation:

The volume of the cylinder is given by the formula ...

  V = πr²h

For the given radius and height, the volume is ...

  V = π(10 mm)²(50 mm) = 5000π mm³

Using 3.14 for π, the volume is ...

  5000(3.14) mm³ = 15,700 mm³

Choose all the numbers that are multiples of both 3 and 6.
A. 9
B. 24
C. 27
D. 30
E.45

Answers

A, C and d are correct 9,27 and 30

Answer : A.9 C.27 D.30
Other Questions
Dont be shyyyy help me out In the Electoral College system, the number of electoral votes each state gets is equivalentto:the number of members the state has in the House of Representatives. the number of voters who are registered in the state.the number of members the state has in the Senate.the number of members the state has in both houses of Congress. What are the y- intercept(s) of the function f(x) = |x+1-2 please answerrrrrrrrr :) PLEASE PLEASE HELP I BEG; NO LINKS! Please help me I need this Write the following series in sigma notation.7+11+15+19+23 name 3 supercomputers along with their cost, purpose and the country it is located. rich people are always happy? What are the primary ways that Georgia raises funds? Check all that apply A submarine is 200 feet below sea level. Does respiratory happens in the lungs true or false? Which of the following best describes the Florida Everglades?a. a freshwater marshb.a swampC. a bogd. a salt marshPlease select the best answer from the choices providedB Which shows the expressions rewritten with the least common denominator?7x-2andx-18x28X-8and2x - 2x16x?16x?14x - 4and2x-28x?8x?28x2-8x 2x3 - 2xand16x16x?14x - 4and8x28x? This graph represents a proportional relationship between the number of months, x, data is used on a cell phone and the total cost of data usage, y.The equation that represents the graph above is y = x.The cell phone company decides to raise the data prices to charge $90 every 2 months. The new equation that would represent this relationship is y = x. can you guys help me help if correct will give brainliest Place yourself in the role of Ludwig Van Beethoven after he recently lost his hearing. Create a post telling your friends, family, and colleagues about the experience. Detail your feelings as well as the choices and music you made after. President Abraham Lincoln wanted the North to fight in the civil war in order to How do governments borrow money?