The sphere's radius is half the radius of the hemisphere. How does the volume of this hemisphere compare with the volume of the sphere?

Answers

Answer 1

Answer:

Radius of the sphere = r

Volume of sphere:

V₁ = 4/3×πr³

Radius of the hemisphere = 2r

Volume of the hemisphere:

V₂ = 1/2×4/3×π(2r)³ = 1/2×8×4/3πr³ = 4V₁

The volume of the hemisphere is 4 times greater than the volume of the sphere


Related Questions

Write a function rule for “The output is five more than the input.”

y=x-5
y=x+5
y=mx=b

Answers

Answer:

y = x + 5

Step-by-step explanation:

The output (y) is five more than the input (x)

and this is expressed symbolically as

y = x + 5

Help asap plssss......

Answers

Answer:

-3

Step-by-step explanation:

(-4)(6)/12

-24/12

= -2

it will be nice if I get brainiest

The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b

Answers

Use this link to find your answerhttp://ldh.la.gov/

there are 45 students In a class. if 60% of them are girls. find the numbers of girls and boys​

Answers

Step-by-step explanation:

No. of students in class = 45 .

Percentage of girls = 60% .

No . of girls = 45 × 60/100 = 45 × 3/5 = 18 .

No. of boys = 45 - 18 = 27

Answer:

27 girls

18 boys

Step-by-step explanation:

Convert 60% to a decimal.

60% · .01 =  0.6

Multiply 45 students by 0.6 to find the number of girls in the class.

45 * 0.6 = 27 girls

Subtract this amount from the total number of students in the class.

45 - 27 = 18 boys

There are 27 girls and 18 boys in the class.

Which function equation is represented by the graph

Answers

Answer:

you need to put a picture

Step-by-step explanation:

:)

Find the 64th term of the arithmetic sequence 29, 38, 47, ...

Answers

Answer:

         a₆₄ = 596

Step-by-step explanation:

The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]

d = 38 - 29 = 9

a₁ = 29

Therefore:

                 [tex]a_{64} =29+9(64-1)\\\\a_{64} =29+9\cdot63\\\\a_{64}=596[/tex]

Brianne's town is building a pool based on a scale drawing that is 20 centimeters by 10 centimeters and uses the scale 1 cm:250 cm. What is the area of the pool in square meters? Enter the area of the pool in the box.

Answers

Answer:

[tex]A=1250m^2[/tex]

Step-by-step explanation:

From the question we are told that

Dimension of drawing

20 centimetres by 10 centimetres

Scale of drawing

1 cm:250 cm

Generally the the Main dimension of the pool is mathematically given as

[tex]L=length\ of\ scaled\ pool*250 cm\\B=length\ of\ scaled\ pool*250 cm\\L=20*250=5000 cm=50m\\B=10*250=2500 cm=25m[/tex]

Therefore Area Aof main pool is mathematically given as

[tex]A=50m*25m=1250 m^2[/tex]

[tex]A=1250m^2[/tex]

Element X is a radioactive isotope such that every 28 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 50 grams, how much of
the element would remain after 11 years, to the nearest whole number? I will give brainly for it

Answers

Answer:

38

Step-by-step explanation:

1. 3/5 divided by 7/12

Answers

[tex] \frac{3}{5} \div \frac{7}{12 } [/tex]

[tex] = \frac{3}{5} \times \frac{12}{7} [/tex]

[tex] = \frac{36}{35} [/tex]

[tex] = 1 \frac{1}{35} [/tex]

Select the correct answer.
Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7?

A.
As x approaches negative infinity, f(x) approaches negative infinity.
B.
As x approaches negative infinity, f(x) approaches positive infinity.
C.
As x approaches positive infinity, f(x) approaches negative infinity.
D.
As x approaches positive infinity, f(x) is no longer continuous.

Answers

Answer:

answer is B..as x approaches negative infinity,f(x) approaches positive infinity.

Which data set has a variation, or mean absolute deviation, similar to the data set in the given dot plot?
.
. .
. . . . . . .
<-]---]---]---]---]---]---]---]---]---]---]---]->
⁵⁰ ⁵¹ ⁵² ⁵³ ⁵⁴ ⁵⁵ ⁵⁶ ⁵⁷ ⁵⁸ ⁵⁹ ⁶⁰ ⁶¹​

Answers

Answer:

I'd say B has similar data set

A(n) __value is any 2-value of a function that makes the y-value undefined.
1. excluded
2. discontinuous
3. quadratic
4. rational​

Answers

Answer:

rational

Step-by-step explanation:

its so because they fit equaly

NEED HELP ASAP
NEED TO FIND THE MEAN

Answers

Answer:

mean=2.6

Step-by-step explanation:

1+3+4+4+1=13

13 divided by 5=2.6

Answer:mean= 2.6=13/5

Step-by-step explanation:

mean=sum of all values/number of values

so,

mean=(1+3+4+4+1)/5

mean=13/5=2.6

Can someone plz help

Answers

Answer:

x=43

Step-by-step explanation:

Answer:

x = 34°

Step-by-step explanation:

(x + 7) + (63° + (2x + 8) = 180°

combine like terms:

3x + 78° = 180°

subtract 78 from each side of the equation:

3x = 102°

divide both sides by 3:

x = 34°

The center of a circle is at (5, –4). A point on the circle is located at (12, –4). What is the approximate circumference of the circle?

Answers

Answer:

43.98 approximately

Step-by-step explanation:

radius = [tex]\sqrt{ (5 - 12)^{2} + (-4+4)^{2} }[/tex]

          = [tex]\sqrt{(-7)^{2} + 0^{2} }[/tex]

          = [tex]\sqrt{49} = 7[/tex]

diameter = 14

Circumference = diameter x pi

                         = 14π = 43.98 approximately

Kevin plants 11 packages of vegetable seeds in a community garden. Each package costs ​$1.64 with tax. What is the total cost of the​ seeds?
PLEASE HELP FAST!!

Answers

$18.04

Easy math. Just multiply 11 by $1.64

A18.04 all you have to do is multiply the 2 numbers

identify the like terms!! quick!! this is for a graded assignment and no links!!! is what i put right? i will give you brainliest!!

Answers

Answer:

Answer D

Yes, what you put is right :)

Step-by-step explanation:

I have a beautiful song for you :)

Mr.Beast 6000, oh

Mr.Beast 6000, oh

Mr.Beast 6000, yeah, you know his name

He changed it once or twice, but I think it's here to stay

His thumbnails were made in Paint

But if you ask me, I think they're kind of quaint

Mr.Beast 6000, oh

Mr.Beast 6000, oh

His random videos are the name of the game

Some might say they're his ticket to fame

The occasional intro may not make sense

But we all get a laugh at their expense

Mr.Beast 6000, oh

Mr.Beast 6000, oh

Mr.Beast, oh

Mr.Beast, oh

Mr.Beast, oh

Mr.Beast, oh, 6000

Mr.Beast 6000

at the animal shelter there are 15 dogs 12 cats three snakes and 5 parakeets which animal makes up approximately 14% of the animals in the shelter​

Answers

Answer:

parakeets

Step-by-step explanation:

Hope this helps
U may ask if any explanation needed

what sum of money will amount to Rs.9261 in 3yrs at 5% per annum compound interest?​

Answers

Question:-

What sum of money will amount to Rs.9261 in 3yrs at 5% per annum compound interest?

Answer:-

Given:-

[tex] \bullet [/tex] Amount (A) = Rs.9261

[tex] \bullet [/tex] Time (n) = 3 yrs

[tex] \bullet [/tex] Rate of interest (r) = 5%

To Find:-

Required Sum

Solution:-

We know the formula,

[tex] { \boxed{\rm \red {A \; = \: P(1 \: + \frac{r}{100})^n}}} [/tex]

[tex] \therefore [/tex] Putting the values we get,

[tex] \bf 9261 \: = \: P(1 \: + \frac{5}{100})³ [/tex]

[tex] \bf P \: = \: 9261 \: × (\frac{20}{21})³ [/tex]

[tex] \bf P \: = \:9261 \: × \frac{20}{21} × \frac{20}{21} × \frac{20}{21} [/tex]

[tex] \bf P \: = \: Rs.8000 [/tex]

[tex] \therefore [/tex] Required Sum is Rs.8000. [Answer]

Estimate the value of the integral from negative 2 to 4 of x cubed, dx by using the Trapezoidal Rule with n = 3. (5 points)
252
128
63
72

Answers

Answer:

Good luck on your test guys, Did a lil digging for this one

Step-by-step explanation:

Find p(4) for the function.
2. p(x) = 7x2 - 9x + 10

Answers

Answer:

P(4)=-12

Step-by-step explanation:

p(4)=7x2-9(4)+10

p(4)=14-36+10

p(4)=24-36

p(4)=-12

What is the value of x in the equation 8 + x = 3?

A. −5
B. 5
C. 11
D. 24

Answers

Answer:

I think it's A

I hope this helps

A

Because if you subtract 8 from 3 you get -5

A number cube has 6 different faces, numbered 1 to 6. All faces have an equal probability of being rolled. What is the probability of rolling a 5?


please no links or weird pictures!

Answers

Answer:

its a 1/6 chance

Step-by-step explanation:

each face has a 1/6 chance of being rolled since there are 6 faces

Answer:

Answer:

40.2 % to the nearest tenth.

Step-by-step explanation:

Probability( 6 on one roll = 1/6).

Probability (6 on first roll and NOT 6 on the next 5 rolls) = 1/6 * (5/6)^6

= 3125/46656

= 0.06698

Only 1 six rolled can happen in  6 different ways ( where the 6 is on the second, third roll etc.)

So the required probability is 0.06698 * 6 = 0.40188.

Step-by-step explanation:

Found this

Juan decided to start savings for college. He deposited $500 into an account which earns 4% simple annual interest. At the end of each year, he will add $250 to this account. How much will he have in his account after the end of three years?

a
$550
b
$770
c
$1,050.80
d
$1,342.83

Answers

Answer

I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared

9514 1404 393

Answer:

  d  $1342.83

Step-by-step explanation:

At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $500(1.04) +250 = $770

At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $770(1.04) +250 = $1050.80

At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $1050.80(1.04) +250 = $1342.83

_____

Additional comment

You can make an appropriate guess by realizing the total of the deposits is ...

  $500 + 3×250 = $1250

Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.

how do I change 66 2/3% into a fraction and a decimal. *no file links. I will report*​

Answers

Answer:

Decimal form : 66.67

Fraction form: 66 and 2 thirds / 100

?????????????????????????????????????????????????????????????????????????????

Answers

Answer:

A≈259.37.....Tell me its it wrog

Step-by-step explanation:

the mode of 100 120 120 140 140 100

Answers

Answer:

100, 120, 140

Step-by-step explanation:

The mode is the value that occurs most often in the sequence. All the numbers occur twice

What is the domain in interval notation of the function graphed below? Note: As x is approaching -2, the graph is getting closer and closer to a line but not touching it.

Answers

Answer:

Step-by-step explanation:

x-values approach x = -2, but do not touch the vertical line x = -2.  All other x-values are permitted.  Thus, the domain is (-2, infinity).

Solving a word problem involving a sum and another basic relationship using a system of linear equations.

At a basketball game, a vender sold a combined total of 130 sodas and hot dogs. The number of hot dogs sold was 44 less than the number of sodas sold. Find the number of sodas sold and the number of hot dogs sold.


Number of sodas sold:

Number of hot dogs sold:

Answers

sodas: 130

hot dogs: 86

there is 130 sodas sold if you subtract 44 from 130 you get how many hotdogs

34+89 = __________. someone help i suck at math my guy

Answers

Answer:

123

Hope it helps!!!

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