1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
DIA [1.3K]
3 years ago
13

The volume of a sphere is 4,000π m3. What is the surface area of the sphere to the nearest square meter? 181 m2 50,265 m2 2,614

m2 1,307 m2
Mathematics
2 answers:
Lilit [14]3 years ago
8 0

Answer:

2614\text{ m}^2

Step-by-step explanation:

We have been given that the volume of a sphere is 4,000\pi\text{ m}^3. We are asked to find the surface area of the sphere.

We will use volume of sphere formula to solve for the radius of sphere as:

\text{Volume of sphere}=\frac{4}{3}\pi r^3

4,000\pi\text{ m}^3=\frac{4}{3}\pi r^3

Multiplying both sides by \frac{3}{4}, we will get:

\frac{3}{4}*4,000\pi\text{ m}^3=\frac{4}{3}*\frac{3}{4}*\pi r^3

3,000\pi \text{ m}^3=\pi r^3

Now, we will divide both sides of our equation by pi.

\frac{3,000\pi\text{ m}^3}{\pi}=\frac{\pi r^3}{\pi}

3,000\text{ m}^3=r^3

Taking cube root of both sides we will get,

\sqrt[3]{3,000\text{ m}^3}=r

10\sqrt[3]{3}\text{ m}=r

Now, substituting r=10\sqrt[3]{3}\text{ m} in surface area of sphere formula, we will get,

\text{Surface area of sphere}=4\pi r^2

\text{Surface area of sphere}=4\pi (10\sqrt[3]{3}\text{ m})^2

\text{Surface area of sphere}=4\pi*208.0083823051904115\text{ m}^2

\text{Surface area of sphere}=2613.9104229\text{ m}^2\approx 2614\text{ m}^2

Therefore, option D is the correct choice.

sashaice [31]3 years ago
7 0
Volume of a sphere = 4/3 πr³
4/3 * 3.14 * r³ = 4000
4.19 * r³ = 4000
r³ = 4000 / 4.19
r = ∛1058
r = 10.19

Now, surface area = 4πr² = 4 * 3.14 * (10.19)²
S.A. = 12.56 * 104
S.A. = 1307

In short, Your Answer would be Option D) 1307 m²

Hope this helps!

You might be interested in
Pls help me! and no files and pls actually help me
crimeas [40]

Answer:

To find m ( slope) we'll use the Slope Formula:

\boxed{\sf{Slope\:(m)}=\cfrac{y_2-y_1}{x_2-x_1}}

<u>Subtract the numbers:-</u>

\sf 7. \:m=\cfrac{4-2}{6-5} =\boxed{2}

_______________

\sf 8.\: m=\cfrac{-1-3}{2-6} =\boxed{1}

_______________

\sf 9.\: m=\cfrac{-4-(-2)}{3-1} =\boxed{-1}

_______________

\sf 10.\: m=\cfrac{0-3}{0-(-3)} =\boxed{-1}

_______________

\sf 11.\:m=\cfrac{4-2}{3-1} =\boxed{1}

_______________

\sf 12.\: m=\cfrac{1-7}{2-5} =\boxed{2}

_______________

\sf 13.\:m=\cfrac{11-9}{1-(-4)} =\boxed{\frac{2}{5}}

_______________

\sf 14.\:m=\cfrac{2-3}{3-5} =\boxed{\frac{1}{2}}

_______________

\sf 15.\: m=\cfrac{11-5}{2-9} =\boxed{-\frac{6}{7}}

_______________

\sf 16.\: m=\cfrac{-7-\left(-6\right)}{8-13}=\boxed{\frac{1}{5}}

_______________

\sf 17.\: m=\cfrac{4-4}{6-1} =\boxed{0}

_______________

\sf 18. \: m=\cfrac{2-(-7)}{5-5}=

↑ Undefined

___________________________________

6 0
2 years ago
Number 4 plz help me out
Paul [167]
I'm really not good at this .. but if u want multiply or dived the cm's .. math is not my best subject if I'm wrong .. sorry
6 0
3 years ago
15x-(-3x-10)=38x-5(4x-2)
son4ous [18]
15x+3x+10 = 38x-20x+10
18x+10 = 18x+10
18x-18x = 10-10
0 = 0
The equation is true.
8 0
3 years ago
No pic/link just type answer pls.
Aleksandr-060686 [28]
I got 4.42 hope this helps:)
7 0
3 years ago
What is 2 plus 2
kotegsom [21]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Other questions:
  • a dollhuse has a bed with diemesions 1/12 size of a queen size bed has an area of 4,800 square inches, and a length of 80 inches
    11·1 answer
  • In △ABC, AD is the angle bisector of ∠A and BE is the angle bisector of ∠B. If AD intersects BE at point O, find m∠AOB given the
    15·1 answer
  • HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10
    13·1 answer
  • If y=2x-4 what is m and b using y=mx+b form?
    10·2 answers
  • Anyone can help me please
    15·1 answer
  • How much fabric is needed to<br><br> create the sail below?<br> 14ft by 9ft
    8·2 answers
  • Find Y. Do not round answer.
    6·2 answers
  • If f(x) = 7x²-3 and g(x) = 5x, which expression is equivalent to [go f](2)?
    9·1 answer
  • Imagina that the cook is using a potato-chopping machine instead of a knife, allowing him to chop a maximum of 120 potatoes inst
    10·1 answer
  • For a certain company, the cost function for producing x items is C(x)=40x+150 and the revenue function for selling x items is r
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!