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

Could someone help? And quick cause im getting ready for bed!!

Answers

Answer:

help with what? could you add a picture?

An experiment compares the height of two plants over time. A plant was 2cm tall at the beginning of the experiment and grew 0.5 centimeters each day. The functions f(t)=0.5+2 represents the height of the plant in centimeters after t days . Which plant for f, or g was growing faster ?

Answers

Answer:

Plant F;

Plant G;

Plant G

Step-by-step explanation:

Given that:

Plant F :

f(t)=0.5x+2

From the growth graph given for the second plant ; plant G

Point 1 (0, 5) ; point 2(16, 9)

Slope = Rise / Run = (9 - 5) / (16 - 0) = 4 / 16 = 0.25

Intercept = 5 ( point where fitted line crosses the y-axis)

Linear slope intercept relation : y = mx + c

m = slope ; c = intercept

g(x) = 0.25x + 5

The slope value of plant F = 0.5

Slope value of plant G = 0.25

F > G

Hence, F is growing at a faster rate

The starting height is given by the intercept value of the two equations ;

Plant F, intercept = 2

Plant G, intercept = 5

G > F

Hence, G was taller, to begin with

Height after 8 days :

x = 8

f(8)=0.5(8)+2

f(8) =  4 +2 = 6

g(8) = 0.25(8) + 5

g(8) =  2 + 5 = 7

Hence, G was taller after 8 days

Which are equal matrices

Answers

Answer:

B

Step-by-step explanation:

B= 3 Ccnssssfbhmhmfffffffffffffffffffffffffffffffffffffffff

PLEASE SOLVE THIS ITS URGENT ​

Answers

I am pretty sure that it should be D
the answer is D. 17 miles !!!!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

The answer is in the image below.

I hoped these help you!

Answer:

can you give me brainliest?

Step-by-step explanation:

The line plot below shows the lengths of bolts Mr. Slivka found in his drawer.


He needs 16 bolts that are longer than 1 inch for a project he is working on.


Does he have enough bolts for his project?


A line plot named


A.

Yes. There are 16 bolts that have lengths greater than 1 inch, which is just enough.


B.

Yes. There are 18 bolts that have lengths greater than 1 inch, which is more than enough.


C.

No. There are only 3 bolts with lengths greater than 1 inch, which is not enough.


D.

No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.

Answers

Answer:

D.)

No. There are only 12 bolts that have lengths greater than 1 inch, which is not enough.

Step-by-step explanation:

Based on information provided by the dot plot above, we can deduce that the number of bta longer Than 1 inch are those with length ; 1 1/8, 1 3/8, 1 4/8

Counting the number of these bolts :

1 1/8 = 5 bolts

1 3/8 = 3 bolts

1 4/8 = 4 bolts

Hence, total number of bolts longer Than 1 inch :

(5 + 3 + 4). = 12 bolts

The number of bolts longer than 1 inch is 16. Therefore, he does not have enough bolt for the project.

Find the area of the triangle

Answers

Answer:

32

Step-by-step explanation:

because the formula if a triangle is base times height divided by 2 which is 16x4÷2=32


Please help me with this question.

Answers

Answer:

on attempts 4, 6 and 7

Step-by-step explanation:

the 60 seconds is on the left anything below it would be your answer

A can of juice has a radius of 5 inches and a height of 8 inches. What is the volume of the can?

Answers

Answer:

use your formula and plug it in and solve it

Step-by-step explanation:

please help find the missing angles !!!! ​

Answers

Answer:

4

Step-by-step explanation:

Which expression is equivalent to 12m(2n + 6p - 10)?

Answers

Answer:

24mn + 72mp - 120m

Step-by-step explanation:

Multiplying as indicated, we get 24mn + 72mp - 120m

Answer:

[tex]24mn + 72mp - 120m[/tex]

Step-by-step explanation:

[tex]12m(2n + 6p - 10)[/tex]

[tex]12m(2n)12m(6p)12m(-10)[/tex]

[tex]12 \times 2mn + 12 \times 6mp - 120m[/tex]

[tex]24mn + 72mp - 120m[/tex]

Hope it is helpful....

I hate these can I get sone help​

Answers

Answer:

m<a=56

m<b=34

m<c=56

Step-by-step explanation:

The rectangle is cut into two triangles. The total of a triangles angles is 180 degrees. The triangles are right triangles which means that the right angle is 90 degrees.

You already have an angle that measures 34 degrees.

Alternate interior angles are congruent. So, the given angle is equal to m<b.

Now add 90+34=124

To get the alternate interior angles (m<a and m<c) subtract 124 from 180 which equals 56 degrees.

Answer:m

Step-by-step explanation:

200 students in a high school senior class are surveyed about what majors they intend to declare in college. Of the 200 students, 80 plan to major in mathematics, 100 plan to major in computer science, and 30 plan to pursue a double major in mathematics and computer science. Using this information, answer each of the following questions.

Let MMM be the event that a randomly selected student plans to major in mathematics and CCC be the event that a randomly selected student plans to major in computer science.


Khan academy adding probabilities

Answers

Answer:

Why is the number so big

Step-by-step explanation:

Answer:

2/5

1/2

3/20

3/4

Step-by-step explanation:

got it from Khan academy :)

Solve:3x+3y=27 and its algebra

Answers

Answer:  X=9-y

Step-by-step explanation:

Answer:

x = 9 - y

y = 9 - x

Step-by-step explanation:

Solving for X:

[tex]3(x + y) = 27[/tex]

[tex]x + y = \frac{27}{3} [/tex]

[tex]x + y = 9[/tex]

[tex]x = 9 - y[/tex]

Solving for Y:

[tex]3(x + y) = 27[/tex]

[tex]x + y = \frac{27}{3} [/tex]

[tex]x + y = 9[/tex]

[tex]y= 9 - x[/tex]

Hence, the answer for x is x = 9 - y and the answer for y is y = 9 - x.

703.36 round nearest whole number

Answers

703 is the answer because the the numbers infront of the decimal need to be 5 or higher

7. James earned $13 on Monday and doubled his pay each day thereafter for a week. How
much did he earn on Saturday?

Answers

Answer:

416$

Step-by-step explanation:

if you borrow $840.00 and you pay back 1/5 how much do you still owe?

Answers

Hello, I Am BrotherEye

Answer: 672 Dollars

Step-by-step explanation:

It Is Simple 1/5 Of 840 Is = 168

168 - 840=672

Thus The Money Owed is

672 Dollars

Best Of Luck

~

BrotherEye

What is the mean absolute deviation?
92, 83, 88, 94, 91, 85, 89, 90

Answers

Answer:

https://www.khanacademy.org/math/cc-sixth-grade-math/cc-6th-data-statistics/cc-6-mad/v/mean-absolute-deviation

Step-by-step explanation:

the absolute deviation is 2.75

A 400g pack of couscous contains 116g of carbohydrate.
A 250g bag of maize flour contains 195g of carbohydrate.
A 1kg bag of wheat flour contains 640g of carbohydrate.
Use percentages to work out the amount of carbohydrates in each.​

Answers

Answer:

A: 70%   B: 64%

Step-by-step explanation:

А
E E
С
D
B
If mZACD = 100°, then mZACE = [?]°

Answers

Answer:

80 degrees

Step-by-step explanation:

a line is always 180 degrees

one side of that line is 100

so, just subtract 100 from 180

you get 80

180 - 100 = 80

Question 11
125
C
15
Oo
$15
I’m

Answers

Answer:

Yes, the answer you chose is correct.

The value of Tonya's car is $21,000. The car's value depreciates at a rate of 15% per year.

Which function represents the value of the car after t years?

O f(t) = 1.15(21,000)

O f(t) = 21,000(1.15)

O f(t)21,000(0.85)

O f(t) = 0.85(21,000)

Answers

Answer:

f(t) = 0.85(21,000)

Step-by-step explanation:

100% - 15% = 85% 0r in decimal form 0.85

0.85 x the original pricen 21,000

Answer:

the answer for this question is: f(t)=21,000(0.85)^t

Step-by-step explanation:

well since its asking what function represents the value, you have to convert the 15 percent into a decimal. so when you put the equation together you can see its 0.85.

hope it helps! :)

can someone help me

Answers

Divide by 4 on each side of the equation. The answer is 6 :)

Which of the following are equivalent to the expression 9/4(1.75−2 1/4)?

Answers

Answer: -1 1/8 (Decimal: -1.125)

Please help me ASAP Its 4th grade homework

Answers

Answer:

equilateral

Step-by-step explanation:

all sides are even to each other

Answer: Equilateral triangle

Step-by-step explanation: This is because it has 3 equal sides

3(2x+4)=2(9+2x)
I need Help with this one!
And then after, how do I change it so it has no solution at all.

Answers

Answer:

x = 3

Step-by-step explanation:

3(2x+4)=2(9+2x)

6x+12=18+4x

6x-4x=18-12

2x=6

x=3

pd: i solve this as an ecuation

Pls help What is the volume of the following pyramid?

Answers

Answer:

It is c) 18 cm^3

Step-by-step explanation:

[tex]v = 3 \times 3 \times 2 \\ v = 18 \: {cm}^{3} [/tex]

I hope that is useful for you :)

Solve for the surface area please

Answers

Answer:

77.35

Step-by-step explanation:

8x7=56

7x6.1=42.7

42.7x0.5=21.35

56+21.35=77.35

Please answer this as soon as possible.

Answers

Answer:1st one is acute 2nd one is also acute 3rd one is obtuse last one is right

Step-by-step explanation:

Because I learned this already

15.95=3.19n
i need help with this

Answers

Answer:

n=5

Step-by-step explanation:

EASY

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