A sphere has a diameter of 12 ft. What is the volume of the sphere? Give the exact value in terms of Pi.

Answers

Answer 1

Formula of volume of a Sphere is : V = 4/3 πr³

Here, Diameter (2r) = 12, so radius (r) = 12/2 = 6 feet

Substitute it into the formula,

V = 4/3 π(6)³

V = 4/3 *216π

V = 288π Ft² [ Answer in the term of π ]

You can also solve it for numeral value by substituting the value of π = 22/7

V = 288 * 22/7 = 905.15 Ft² [ Answer in numbers ]

Answer 2

Answer:

288 pi ft squared

Step-by-step explanation:

Edge 2021 :) Have a good day!


Related Questions

pls help me thank you!
choose the best answer
3x^2-6x=29

a) no real solutions

b) one distinct, real solutions

c) two distinct, real solutions

Answers

Answer:C

Step-by-step explanation:

PLEASE HELP

A car is traveling at 80 mph for 5 hrs, how long will it take to travel the same distance at 20 mph?

Answers

Answer:

20 hours.

Step-by-step explanation.

The total distance traveled was 400 miles. Then I divided 400 by 20. I got 20.

Need to figure out x and y

Answers

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs

Answers

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

https://brainly.com/question/11901702

How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number

Answers

ANSWER:

1 unique triangle

Step-by-step explanation:
There are several ways to determine if the information given about a triangle produces a unique triangle or not. One option is to provide two side lengths and the angle included between them, this is known as SAS (side-angle-side) congruence, this is not to be confused with SSA (side-side-angle) congruence. Since this is one of the groups of givens that provides a unique triangle, then the number of unique triangles that can be drawn is 1 unique triangle.

HELP I PROMISE I WILL GIVE BRAINLIEST!!!!!!!!

Answers

Answer: i think d sorry if im wrong.

Step-by-step explanation:

Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old

Answers

Answer:

your  cat will be 12 your friend will be either 16 or 24

Step-by-step explanation:

Friend is 12 years old and cat is 4 years old.

What is equation?

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given,

Cat is 8 years younger than your friend

Let age of friend be x

then, age of cat be x - 8

But In 4 years, your friend will be twice as old as your cat

x + 4 = 2(x - 8 + 4)

x + 4 = 2x - 16 + 8

x + 4 = 2x - 8

-2x + x = - 12

x = 12

Age of friend = 12 years

Age of cat = 12 - 8 = 4 years

Hence, 12 years is age of friend and 8 years is age of cat.

Learn more about equation here:

https://brainly.com/question/1529522

#SPJ5

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A
Which equation models the total number of cups of flour, c, Henry needs?
c+214=10
214×c=10
10+c=214
214×10=c
Part B
How many cups of flour does Henry need?
2014cups
2212cups
2434cups
2512cups
Part C
Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

Answers

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

110 cm
50 cm
140cm
y у
180 cm

Answers

Answer:

its a little hard sorry I dont know

the question is in image!!!!!! plz answer you’ll get 95 points!!

Answers

Answer:

Option A is correct

Step-by-step explanation:

Given functions f(x) and g(x). f(x) is:

f(x) = x^2 + 4x + 6

Converted into vertex form, it is:

f(x) = (x + 2)^2 + 2

g(x) has vertex at (-2, -14), it's vertex form is:

g(x) = (x + 2)^2 - 14

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

Answer:a

Step-by-step explanation:

Did it

Find the area of the rectangle.. Single choice.

436 cm squared
399 cm squared
380 cm squared
417 cm squared

Answers

Answer:

399 cm squared.....Do you want explanation ??

Answer:

socratic

Step-by-step explanation:

use socratic take a pic then it searchers for you

Please Help me! ASAP

Answers

Your answer would be 44

Chris had 30 dollars to spend on 3 gifts. He spent 9 7 10 dollars on gift A and 3 2 5 dollars on gift B. How much money did he have left for gift C?

Answers

Answer:

4 dolars left

Step-by-step explanation:

im smart

During the American Revolution, women... i need help now please i will give 11 points


1.ran family businesses.

2.cared for the troops.

3.helped raise money for the war.

4.all of the above

Answers

Answer:

its 4 or d

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

What 2 numbers multiply to make -48 and combine to make 2?
____ and ___

Answers

-6x8 equals -48 and adds to give you positive two

4 and -12 are equal to -48

4x^2-4x+1 factoring special cases

Answers

Answer:

(2x−1)(2x−1)

Step-by-step explanation:

Factor 4x2−4x+1

4x2−4x+1

=(2x−1)(2x−1)

WILL MARK BRAINLIEST pls help (ignore notes)

Answers

Answer:

Step-by-step explanation:

Shaped area perimeter=50(3)+50[tex]\pi[/tex]÷2+50(2)[tex]\pi[/tex]÷4

                                      =150+50[tex]\pi[/tex]

                                      =307.1 cm(correct to nearest tenth)

What is the solution to the system of equations?

Answers

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

Which one of these math problems is correct?
A. 50x3=1043
B. 54x6=324
C. 25x4=100
D. None of the above

Answers

Answer:

B and C are correct

Step-by-step explanation:

Use a calculator next time.

Currently a product has a gear ratio of 17:5, driver:driven. If the company wants to change the product to have the same gear ratio but a driver with 34 teeth, how many teeth must go on the the driven gear?

Answers

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

Please help me 2x+y=2

Answers

Answer:

y=-2x+2

Step-by-step explanation:

Inverse of -2x+2 {x-2}{2}

Translate: Four less than twice a number is
twelve

Answers

The answer is 8
8*2=16-4=12

NEED HELP WITH NUMBER 2 PLS I WILL MARK YOU BRAINLIEST

Answers

Answer:

The slope is 25 and the y-intercept is 100

Step-by-step explanation:

With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here

B is always the y-intercept, which is 100 here

What percent of 700 is 364

Answers

Answer:

52%

Step-by-step explanation:

Give the equation of the line below: ​

Answers

Answer:

slope = ⅔

y intercept = -2

so

[tex]f(x) = \frac{2}{3}x - 2[/tex]

What is the solution to the equation 4x + 2(x – 3) = 3x + x - 12? (1 point)
1)-3
0 2 -1
3) 1
4) 3

Answers

Answer:

the answer to this problem is -3

24. Which expression below is equivalent to x+x+x+x+y+y?
(1) 6x+6y
(3) x* + y2
(2) 4x+2y
(4) 6xy

Answers

(2).




Explanation: 4x+2y

Answer:

4x+2y

Step-by-step explanation:

need help

Evan bought a car. He put $4500 down and pays $325 each month.
Write an expense equation for this situation and find how much he will have paid after 24 months.

Answers

Step-by-step explanation:

So I didnt really understand the beginning but what I did was $325x24=$7800 payed in 24 months if we are adding the $4500 it would be

$7800+$4500=$12300

Step-by-step explanation:

So I didnt really understand the beginning but what I did was $325x24=$7800 payed in 24 months if we are adding the $4500 it would be

$7800+$4500=$12300

Estefania can run 3/4 of a race in 2/3 hour. How long will it take her to complete the entire race?

Answers

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

Simplify the expression. Make sure all final answers are clearly labeled. Show all work.

3 divided by 2+√5

Answers

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

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