What is the volume of the figure?

What Is The Volume Of The Figure?

Answers

Answer 1

9514 1404 393

Answer:

  C.  205.3 units²

Step-by-step explanation:

The volume of the figure is the sum of the volumes of ...

  1/2 sphere of radius 2

  cylinder of radius 2 and length 12

  cone of radius 2 and length 9

The formulas for the volumes of a sphere, cylinder, and cone are ...

  V = 4/3πr³ . . . sphere

  V = πr²h . . . . cylinder

  V = 1/3πr²h . . . cone

Then the sum of the volumes is ...

  1/2 sphere + cylinder + cone = (1/2)4/3πr³ +πr²h +1/3πr²h'

     where h is the cylinder height and h' is the cone height

  = πr²(2/3r + h + 1/3h')

  = π(2²)(2/3·2 +12 +1/3·9) = π(4)(16 1/3) = π(65 1/3) ≈ 205.2507

The volume of the figure is about 205.3 units³.


Related Questions

"The ratio of five less than thrice a number x and four" please write in symbols

Answers

Answer:

(3x - 5)/4

Step-by-step explanation:

(3x - 5)/4 desribes five less than thrice a number x over four. Please let me know if this is what you mean.

linear or exponential

Answers

Answer:

exponential

Step-by-step explanation:

Exponential im pretty sure

if x/ 3=3/x then what is the value of x
1.-3
2.3
3.+-3​

Answers

Answer:

x = ±3 (Option 3)

Step-by-step explanation:

[tex]\frac{x}{3} = \frac{3}{x}[/tex]

Multiply both the sides with 3.

[tex]=> \frac{x}{3} \times 3 = \frac{3}{x} \times 3[/tex]

[tex]=> x = \frac{9}{x}[/tex]

Multiply both the sides with 'x'.

[tex]=> x \times x = \frac{9}{x} \times x[/tex]

[tex]=> x^2 = 9[/tex]

Root-square both the sides.

[tex]=> \sqrt{x^2} = \sqrt{9}[/tex]

[tex]=> x = (+3) \: or \: (-3)[/tex]

∴ x = ±3

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Type: "Follow KelvinSu From:(your name)"
Thank you in advance​

Answers

Follow KelvinSu From: Thadd

Follow kelvinSu from:Keisha

The sum of two numbers is 75. The second number is 3
less than twice the first. Find the numbers. Please give me the answer step by step on how to solve it.

Answers

First set up an equation:

x + (2x-3) = 75
now add both together

3x-3 =75

move over the constant

3x=78

and divide by 3

x= 26

Hope this helps!!

Answer:

x= 26 y = 49

Step-by-step explanation:

let the first number be x and second be y

then

according to the question,

x + y= 75

x + (2x- 3) = 75

x + 2x - 3 = 75

3x = 75 +3

3x = 78

x = 78/3

x = 26

thus first number is 26

and second number is 2x-3=2×26-3

= 52 - 3= 49

Victor makes decorations for his birthday party. He needs 5/6 yard of ribbon for each decoration. How much ribbon does Victor need to make 7 decorations

Answers

Answer:

35/6

Step-by-step explanation:

first you have to multiply 7 by 5/6 and that will get you to the answer of 35/6

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YO HELP ME OUT!!!! Question is in the screenshot below PLEASE answer correctly, I am running out of time!

Answers

Answer:

V = 696.91

Step-by-step explanation:

Volume of a sphere formula:

V = 4/3πr³

Given:

d = 11

r = d/2

r = 5.5

Work:

V = 4/3πr³

V = 4/3π(5.5)³

V = 4/3π(166.375)

V = 696.91

please help me with this one

Answers

Answer:

a: 500in squared

Step-by-step explanation:

A=(a+b)/2 x h.

19+31=50

50/2=25

25×20=500

500 is correct hope this helps!

Taxi A charges $0.25 per mile and an initial fee of $5. Taxi B charges $0.5 per mile and an initial fee of $2. In how many miles will the cost of Taxi B will be the same than Taxi A.

Answers

Answer:

12 miles

Step-by-step explanation:

Let

x = number of miles

Taxi A:

5 + 0.25x

Taxi B:

2 + 0.5x

In how many miles will the cost of Taxi B will be the same than Taxi A

Equate cost of taxi A and taxi B

5 + 0.25x = 2 + 0.5x

Collect like terms

5 - 2 = 0.5x - 0.25x

3 = 0.25x

Divide both sides by 0.25

3 / 0.25 = 0.25x / 0.25

x = 3/0.25

x = 12 miles

x = number of miles = 12 miles

HELP HELP HELP FIRST RIGHT ANSWER GETS BRAINLIEST​

Answers

infinite, have a nice day and i how it helps!

Answer:

No solution

Step-by-step explanation:

2x - y = 8

2x - y = 6

They are the same unknown variable, if they equate different things, there is a problem.

bcs 2x-y - (2x - y) = 2x - 2x - y + y = 0

but 8-6 ≠ 0

Thus this is unsolvable.

70% in the SIMPLEST Form​

Answers

Answer:

7/100

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 70 and 100 is 10

Divide both the numerator and denominator by the GCD

70 ÷ 10

100 ÷ 10

Reduced fraction:

7

10

Therefore, 70/100 simplified to lowest terms is 7/10.

Please help on how to solve this

Answers

Answer:

11,73 cm (round to the nearest hundredths) ; 112 degrees

Step-by-step explanation:

circumference = 2 x radius x π = 2 x 6 x π = 37,699112 cm

measure of the arc =

37,699112 : 360 = x : 112

x = (112 * 37,699112)/360 = 11,728613 cm

the measure of the angle is given = 112 degrees

Please helppp it would be much appreciated

Answers

Answer: B is the correct answer!

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Well since you pretty much know that electrons are negative soo... B

I'm quite confused on which answer is it Please help.

Answers

Answer:

[tex] \rm Option \; D [/tex]

Step-by-step explanation:

Volume of cube = (l)³ cubic units

l denotes length of the side

→ Volume of cube = 1 unit × 1 unit × 1 unit

→ Volume of cube = 1 cubic unit

Option D is correct.

Doug is going to ride his bicycle 3,000 miles across the United States, from coast to coast. He wants to choose the route that will give him the greatest chance of success. Here's what he finds in his research:

Answers

Answer: hello your question has some missing data below is the missing data

There have been 2 attempts on the northern route from Maine to Washington. Both of those riders made it 2,000 miles and quit in Montana. There have been 19 attempts on the central route from Virginia to California; 9 of those riders didn't make it out of Virginia and the other 10 made it all the way to the Pacific. There have been 32 attempts on the southern route from Florida to San Diego. One of those riders made it the whole way. Another realized he was out of shape, and quit before he even started. The other 30 riders quit somewhere in Texas. They were evenly distributed between 1 , 300 and 1 , 700 miles. For the northern route, the median distance covered will be the mean. For the central route, the median distance covered will be the mean. For the southern route, the median distance covered will likely be the mean

answer : Doug should choose the Central route

Step-by-step explanation:

Number of Available routes = 3

Northern route ; Total distance covered =  2000 miles

Central route : Total distance between Virginia and California = 2818.5 miles

percentage of success = 10 / 19 * 100 = 52.63 %

Mean distance covered = 2818.5 * 52.63% = 1483.38 miles

southern route  

Distance to be covered = 2,548 miles

number of attempts = 32

percentage of success = 1 = ( 1 / 32) * 100 = 3.12%

median distance covered by 30 riders = 1300 + ( 400 / 30 ) = 1313.33

Conclusion :

Doug should choose central route because it has the highest percentage of success and longest distance covered  ( i.e. closest to 3000 miles ) and it is also coast to coast

hey! i’ll give brainliest please help

Answers

Answer: Its the first one

I think the Answer is the man can’t decide which restaurant to go to

find the range of these sets of data -2,9,-1,-2000,-6000​

Answers

Step-by-step explanation:

the given data is in ascending order=9,-1,-2,-2000,-6000

rang = 9-(-6000)

( from above photo it continue )

Solve(100 points to right answer)If you get it wrong or type random stuff you will be reported

Answers

Answer:

24 ft

Step-by-step explanation:

Hypotenuse = √9²+16²=√81+256=√400=20ft

the upper side of the stuff = 4 ft

total = 20+4=24

i hate copy and pastes​

Answers

Answer:

why they're so helpful

Step-by-step explanation:

Answer:

Me too it so much wooooorrrrkkk

Step-by-step explanation:

Pls someone help I need help with 2 I need answer and explanation pls

Answers

Answer:

2. B, 18 = 11 + 7

If you plug in the 7 in the y it would make sense

18 = 11 + y

Let's plug in the 7

18 = 11 + 7

and 11 + 7 = 18, so it makes sense! Therefore B is your answer for question number 2.

Answer:

B. 18 = 11 + y

Step-by-step explanation:

since y = 7

substitute it into the equation which becomes

18 = 11 + 7

which makes this statement true.

11 + 7 = 18

what is the value of r if 3r =243?​

Answers

Answer:

243 divided by 3 equals 81 so r=81

Step-by-step explanation:

Answer:

81

Step-by-step explanation:

Simplify the equation. 3r=243, so divide 3 on both sides, and you get r=81, hence 81 is the answer.

PLEASE HELP ME ASAP I NEED HELP

Answers

Answer:

4w = 25

w= 6.25

Step-by-step explanation:

We know that w + w + w + w is the same as 25 because the scale is balanced.

This is writted as 4w = 25

To solve for w, divide both sides by 4:

(4w)/4 = 25/4

w = 25/4

w = 6.25

What's the result of subtracting the second equation from the first ? please provide steps <3
2x + 4y =2
-2x+ y = -9

Answers

Ans will be 4x + 3y = 11

What is the area of the triangle?
10
8
6

Answers

Answer:

10

Step-by-step explanation:

Solve for x. Round your answer to the nearest tenth

Answers

answer

tan x=p/b=8/15

Step-by-step explanation:

using pythagoras theorem

h^2 =p^2+b^2

h^2=8^2+15^2

h^2=64+225

h^2=289

h=root 289

h=17

then,

cosx=b/h

=15/17

^2= Square

someone please help!!! I’ll give you brainlist!

Answers

Answer: Point P

Step-by-step explanation:

Give the slope of the line which is perpendicular to
y = −3x −2

Answers

Answer:

1/3

Step-by-step explanation:

y = −3x −2

This is in the form  y = mx+b  where m is the slope

This line has a slope of -3

We want the slope of a line that is perpendicular

Lines that are perpendicular have slopes that are negative reciprocals

m = -(1/-3)

m = + 1/3

The slope  of a line that is perpendicular is 1/3

EASY MATH PLEASE HELP! :)

I WILL GIVE BRAINLIEST!

QUESTION: Find the area!

Answers

Answer:

256ft

Step-by-step explanation:

18 times 8 plus 16 times 16 divided by 2

hope this helps! :D

Divide this pic into 2, one rectangular another one is triangular
So,
Area of ta rectangular,
=Length*width
16*8
128ft squad

Next one is,
Area of triangular,
Formula of area of triangular,
1/2*Feet*Hight
1/2*16*8
64
So
Want to addition 2 Answers,
128+64
192ft squad

hhhhhhhhhhhhhhhhhhhhhh​

Answers

Answer:

13 miles

Step-by-step explanation:

The shortest distance would be a straight line between the two points.  This would be a hypotenuse of a right triangle

We can use the Pythagorean theorem to determine the length

a^2+b^2=c^2

5^2 +12^2 = c^2

25+144= c^2

169 = c^2

Taking the square root of each side

sqrt(169) = sqrt(c^2)

13 = c

Answer:

8.5 milessssssss and aaaaaa

Study the image and complete the sentence.
The image shows panels that convert
example of using
sources,
to electricity. This is an

Answers

Answer: Choice A) Solar energy; renewable

The image shows panels that convert solar energy to electricity. This is an example of using  renewable   sources.

This is in contrast to something like coal energy which is nonrenewable. Coal is finite and will run out some day, unlike the sun's energy which won't run out any time soon. Sure it will eventually die off in about 5 billion years or so, but that timescale is much longer compared to the amount of coal is left. So this is a benefit to using renewable resources.

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