A sphere has a volume of 4,500 cubic feet. Find the radius of the sphere.

Answers

Answer 1

Step-by-step explanation:

Volume of a sphere is

[tex]v = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

We are given the volume, v, and asked to find the radius, r.

Substitute 4500 ft^3 for v, solve for r.

[tex]4500 = \frac{4}{3} \times \pi \times {r}^{3} [/tex]

Multiply both sides by 3/4 to eliminate 4/3

[tex] \frac{3}{4} \times 4500 = \frac{4}{3} \times \pi \times {r}^{3} \times \frac{3}{4} [/tex]

[tex] \frac{13500}{4} = \pi \times {r}^{3} \: \\ then \: divide \: by \: \pi[/tex]

[tex] \frac{3375}{\pi} = {r}^{3 \: \: take \: the \: cubed \: root \: of \: both \: sides} [/tex]

[tex] \frac{ \sqrt[3]{ {15}^{3} } }{ \sqrt[3]{\pi} } = \sqrt[3]{r} [/tex]

[tex] \frac{15}{ \sqrt[3]{\pi} } = r [/tex]

That approximates to 10.27 ft^3


Related Questions

6x -4+2(5x+2)=16x
help plz​

Answers

The answer Would be 1 or incase infinite solution

answer is 44

Step-by-step explanation:

6×4+2(5×2) or 2(3×4+5×2

one factor: 2×2(3×2+5

solution: 2×2(3×2+5

Hiioo can someone please help me

Answers

Answer:

The angles are supplementary and they share the same line.

Step-by-step explanation:

3
4 -
8
5
1 -
8 797968686

Answers

whats the question so that we can help????

What can you tell about the mean of each
distribution?

A.The average cost of a cat's annual visit is about $23.71 less at A New Leash
on Life Animal Clinic than the average cost for
a cat's annual visit at No Ruff
Stuff Animal Hospital.

B.The average cost of a cat's annual visit is about $23.71 more at A New Leash
on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff
Stuff Animal Hospital.

C.The average cost of a cat's annual visit is about $1.20 less at A New Leash on
Life Animal Clinic than the average cost for a cat's annual visit at No Ruff
Stuff Animal Hospital.

D.The average cost of a cat's annual visit is about $1.20 more at A New Leash
on Life Animal Clinic than the average cost for a cat's annual visit at No Ruff
Stuff Animal Hospital.

Answers

Answer:

e

Step-by-step explanation:

Measure and record the length of each side of parallelogram ABCD.

Answers

Answer:

Side Length

AB = 3.61

BC =  2.0

CD=   3.61

AD = 2.0

Step-by-step explanation: plato answer

Answer:

AB = 3.61

BC =  2.0

CD=   3.61

AD = 2.0

Step-by-step explanation:

Help will give brainliest !!

Answers

Answer:

II, III and IV.

You can construct similar figure for I.

Juan bought 4.5 lbs of coffee for $7.98 per lb. Sales tax is 6%. What was the total amount Juan paid for the coffee?

Answers

Answer:

the amount he paid is 36.06

Step-by-step explanation:

hope this helps

Answer:

$33.7554

Step-by-step explanation:

4.5 x 7.98

35.91- the amount without the sales reduction

6% of 35.91

6/100 x 35.91

2.1546- the amount that was deducted

to find out how much he paid we will subtract the deducted amount from the original price which is

35.91-2.1546

$33.7554 is the amount he paid

Which fraction and decimal forms match the long division problem?​

Answers

Answer:

a

Step-by-step explanation:

probably...........

Answer:

A or D I wouldn't  know which one because there the same i'm sorry

Step-by-step explanation:

plzzzzz help ill mark you plzzzzzzz

Answers

Answer:

Step-by-step explanation:

a. 5 3/6  - 1 2/6 = 4 1/6

b. 8 9/12 - 5 10/12

    7 21/12 - 5 10/12= 2 11/12

A: 5 1/2 - 1 1/3.

Answer: 25/6.

in mix fraction ot would be, 4 1/6

and in decimal from it will be, 4.166667.

B: 8 3/4 - 5 5/6.

Answer: 35/12.

In mix fraction it will be, 2 11/12.

and in decimal from it would be, 2.916667.

what dose this mean :(me need to draw line

Answers

Because OP only asked for a clarification of the problem statement:

You are asked to find the green area. (Hint: divide the green area into rectangles and right triangles, because you know their area.)

-4
Solve the equation
3
+
x + 1
x-1
2-x
a.
5
c.
6
13
15
b. 9
d.
13
15

Answers

The answer would be a. 5/13

PLIS HELPPP I DON'T UNDERSTAND THIS

Answers

Answer:

Step-by-step explanation:

7 blue socks and 6, 5, 8 of non-blue socks. If you add the numbers of non-blue socks you get 19. Blue socks to non-blue would be 7:19

Answer:

The ratio is 7 to 19 or 7:19

Step-by-step explanation:

Since there are 7 blue socks and other colors are not blue we add the number of other colors. So basically 8+5+6= 19 and then 7 blue socks :)

Find the missing angle? *

Answers

80 + 35 = 115

180 - 115 = 65

the answer is 65

Write the sum as a product of 2-factors.
10-25t

Answers

Answer:

5

out of

5

(

2

)

+

5

(

5

t

)

.

5

(

2

5

t

)

Step-by-step explanation:

Jeannie got a new pair of eye glasses. She was able to pay $15 at the
time she received her glasses. She will pay $12 each month on the
balance. The original cost of the glasses was $87.
b. How many months will it take Jeannie to pay for her glasses?

Answers

Answer:

6 months

Step-by-step explanation:

12x = 87

12x ÷ 12 = x

87 - 15 = 72

72 ÷ 12 = 6

x = 6 months

CHECK:

12 x 6 = 72 + 15 = 87

87 = 87

Answer:

6 months

Step-by-step explanation:

The equation would be: 15 + 12m = 87


I am a multiple of 12 . i am between 40 and 50 . who could i be​

Answers

Answer:

48

Step-by-step explanation:

if its not right sorry

Write the equation for the inverse of the function.
y= Arctan (x+Pie/2)

Answers

Answer:

y = tan x - pi/2

Step-by-step explanation:

y = arctan(x+pi/2) use that tan y = x is y= arctan x

tan y = x+pi/2; change x with y and find y

tan x= y +pi/2; subtract pi/2 from both sides

-pi/2 + tan x = y

y= tan x -(pi/2) is the inverse function

you can also write it as

y = 1/2(2 tan x -pi)

y = tan x - pi/2

Help plz I WILL GIVE BRAINLIEST JUST PLZ HELP

Answers

Answer:

3x-4=107* why vertical angles

Step-by-step explanation:

3x-4=107

add 4 on both sides

3x=111*

x=37

Answer:

x = 37°

The other two angles equals 73°. both of them are 73°

Step-by-step explanation:

107°+ 4° = 111

3x = 111°

x = 37°

360 - 214 = 146°

146 / 2 - 73°

After a class party, Hugo had 3/5 of a bag of candy left
over. He decides to split it between himself and 3
friends. How much candy will each person get?

Answers

Answer:

Each person will get 3/20 of the bag of candies

Step-by-step explanation:

3/5 divided by 4 = 3/5 * 1/4 = 3/20

Please mark as brainliest if the answer is correct!

Also, feel free to tell me if my answer is wrong, or you have more questions. :D

Examine the solution to the equation.
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30+3=-2x–8 – 4x
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation.
-6x-27 = -6x - 8
-27 = -8
Any input value for the variable will generate a false
equation.
Intro
Done

Answers

Answer:

The answer is 2 and 5

Step-by-step explanation:

FIRST ANSWER GETS BRAINLIEST PLEASE HELP THIS TEST IS WORTH 50 PERCENT OF MY GRADE

Answers

Answer:

Step-by-step explanation: the BESt is B BECAUSE SHE ASK FOR 8 PRINTING FOR $234 AT AN ESTATE SALE THE SMALLER PAINTING WERE $25 EACH WHILE THE LAGER PAINTING WERE $40

Is the system of equations independent inconsistent or dependent?

An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.What are the 3 types of system of equations?

There are three types of systems of linear equations in two variables, and three types of solutions.

An independent system has exactly one solution pair. The point where the two lines intersect is the only solution.

An inconsistent system has no solution. ...

A dependent system has infinitely many solutions.

Suppose you invest $2000 at an annual interest of 5.5% compounded continuously.
a. How much will you have in the account in 10 years?
b. How long will it take for the account to reach $5000?

Answers

Answer:

[tex]2000 \times {1.055}^{10} = 3416.29[/tex]

[tex]5000 \div 2000 = 2.5[/tex]

[tex] log_{1.055}(2.5) = 17.11[/tex]

A tropical punch recipe cals for 300 ml of sugar for every 2 flavor packages.
Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the
number of flavor packages for this recipe.

Answer: s=150f

Answers

A tropical punch recipe cals for 300 ml of sugar for every 2 flavor packages.
Write an equation that shows the relationship between s, the amount of sugar in milliliters, and f, the
number of flavor packages for this recipe.

Answer: c=150f

Step-by-step explanation:
Given: A tropical punch recipe calls for 300 ml of sugar for every 2 flavor packages.
Thus, for 1 flavor package quantity of sugar=
Let c be quantity in milliliters of of sugar and f be the the number of flavor packages for the recipe.
Then, the required equation will be
c = 150 f

X - 11 < 7
Please help✨✨

Answers

x menos 11 menor que 7. .............................

Answer:

x < 18

Step-by-step explanation:

We have an inequality and are asked to solve.

To solve, we need to isolate x or by other means get x by itself.

X - 11 < 7

Add 11 to both sides :

x < 18

Now you could ask whether the inequality sign would change, no, this would only happen when you divide by a negative number.


A flagpole that is 32 feet tall casts a 67-foot shadow. What is the angle, marked with an x on the diagram, that the sun hits the flagpole? Round to the nearest degree, and enter the number only.

Answers

Answer:

64

Step-by-step explanation:

Factorise. 9xy +6y plz help

Answers

3y(3x+2)

9xy+6y

hope it's helpful ❤❤❤❤❤❤

THANK YOU.

#

Answer:

3y(3x + 2)

Step-by-step explanation:

Given

9xy + 6y ← factor out 3y from each term

= 3y(3x + 2) ← in factored form

anyone? match need it in a rush

Answers

Answer:

U can transform it by

Step-by-step explanation:

please help! (URGENT)

Answers

Answer:

x=8

Step-by-step explanation:

you gotta trust me bro its 8

SOMEONE HELP pslslspsls

Answers

MY BROTHER USE THE APP M A T H W A Y

Answer:

4

Step-by-step explanation:

What is the range of the function when the domain is (-2, 3, 5)?

Answers

Answer:9

Step-by-step explanation:

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