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
egoroff_w [7]
3 years ago
10

Find the volume of a sphere with a great circle area of 201.06 square inches

Mathematics
1 answer:
Vikentia [17]3 years ago
6 0
Assuming you meant a "circular cross-section" of 201.06 in².

so, we know if we cut the sphere like a cantaloupe, in half, the circular inner-part of the cantaloupe will have an area of 201.6 in².

keeping in mind that, the radius of that circular section, is the same radius of the sphere, what is it anyway?

\bf \textit{area of a circle}\\\\
A=\pi r^2~~
\begin{cases}
r=radius\\
-----\\
A=201.06
\end{cases}\implies 201.06=\pi r^2
\\\\\\
\cfrac{201.06}{\pi }=r^2\implies \sqrt{\cfrac{201.06}{\pi }}=r\\\\
-------------------------------

\bf \textit{volume of a sphere}\\\\
V=\cfrac{4\pi r^3}{3}\qquad \qquad \implies V=\cfrac{4\pi \left( \sqrt{\frac{201.06}{\pi }} \right)^3}{3}\implies V=\cfrac{4\pi \left( \frac{\sqrt{201.06^3}}{\sqrt{\pi ^3}} \right)}{3}
\\\\\\
V=\cfrac{4\pi \cdot \frac{\sqrt{201.06^3}}{\pi \sqrt{\pi }}}{3}\implies V=\cfrac{\frac{4\sqrt{201.06^3}}{\sqrt{\pi }}}{3}\implies V=\cfrac{4\sqrt{201.06^3}}{3\sqrt{\pi }}
You might be interested in
If f(x) = -2x^2 + 3 then f(-5) = ??
Sladkaya [172]

F(-5)= -2x^2+3

-5*-5=25

25*-2=-50

F=-50+3

F=-47

5 0
3 years ago
Item 17 The amount of chlorine in a swimming pool varies directly with the volume of water. The pool has 2.5 milligrams of chlor
zvonat [6]
8000 gal *\frac{ 1 L}{0.264 gal}*\frac{2.5 mg}{1 L} = 75,757 mg

Rounding to nearest thousand gives 76,000 mg of chlorine
7 0
3 years ago
Find the slope of the line that passes through the origin and the point (-2,5).​
Mekhanik [1.2K]

<u>Slope -2/5.</u>

Answer:

Solution given:

(x1,y1)=(0,0)

(x2,y2)=(-2,5)

now

slope =(x2-x1)/(y2-y1)=(-2-0)/(5-0)=-2/5

7 0
3 years ago
Me trying to pass test
user100 [1]

Answer:

b

Step-by-step explanation:

b is the answer to your test

6 0
3 years ago
Read 2 more answers
It says to simplify it​
rusak2 [61]
The answerrr is v11
3 0
2 years ago
Read 2 more answers
Other questions:
  • Write an equation of a line that passes through the point (1,2) and is parallel to the line y=-5x+4
    7·1 answer
  • What are the slope and y-intercept of the following<br> equation?<br> 2x - 4y = 16
    14·1 answer
  • A circle has a diameter with endpoints at (6, 5) and (8, 5). Write the equation for the circle.
    15·1 answer
  • What is 4 out of 3 rounded to 1 decimal place
    7·1 answer
  • Hiiioo could someone please help me please ❤️if not that’s otay tooo
    5·1 answer
  • Find the equation of a line perpendicular to 4x-y=4 that contains the points (0,3)​
    8·1 answer
  • Mrs. Booker was being chased by a horde of zombies. She had to run 8 yards to make it to a safe zone. How far did she run in fee
    10·1 answer
  • Find AE if AB=12, AC=16, and ED=5.
    13·1 answer
  • 2- 1/2n=3n+16<br><br> I need you to solve the whole equation step by step
    9·2 answers
  • Please help with math problem give a good rating and 5 stars
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!