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
kondor19780726 [428]
3 years ago
10

I need help on number 10 urgently.

Mathematics
2 answers:
grigory [225]3 years ago
6 0

Answer: Option A. 288 cubic inches

uranmaximum [27]3 years ago
4 0

The formula for the volume of a cylinder is

V = π · R² · Height .

The formula for the volume of a sphere is

V = 4/3 · π · R³ .

We <u>know</u> the volume of the cylinder, so let's work with that formula, and see if we can squeeze anything out of it that can help us with the sphere.

Cylinder:  V = π · R² · Height .

Wow !  Look at the picture for a second !  The radius of the cylinder is the same as the radius of the sphere, AND the height of the cylinder is double the radius !  This should really help.

Cylinder:  V = π · R² · (2R) .

V = π · (2R³)

But we know the volume of the cylinder.  It's  432π inch³ .

432π in³ = π · 2R³

Divide each side by  2 :

π R³ = 216 in³

We could use this to find the radius, but why bother ?  Why not just keep (π R³) and stuff it straight into the formula for the volume of the sphere ! ?

Sphere:  V = 4/3 · (π · R³)

V = 4/3 · (216 in³)

V = (4/3 · 216) in³

<em>V = 288 in³ </em><em> </em>

<em />

Ahhh ... the sweet feeling of knowing that you're right !

You might be interested in
What is the sum of the interior angles of a hexagon?
Gala2k [10]

Hello!

So, every interior angle of a regular hexagon measures 120 degrees.

There are six interior angles of a hexagon, so you have to multiply 120 by 6.

120 x 6 = 720

So, the answer to your question is that the sum of the interior angles of a hexagon is 720 degrees.

Hope this helps!

3 0
2 years ago
Write each percent as a fraction and as a decimal
slavikrds [6]
1% as a fraction is 1/100
1% as a decimal is 0.01

3 0
3 years ago
A ball is thrown from an initial height of 2 feet with an initial upward velocity of 29 ft/s. The balls height (h) [in feet] aft
nirvana33 [79]
The ball is at a height of 14 feet after 1.17 and 0.64 seconds.

This is an example of a quadratic equation. Write out the equation with 14 in the place of the height. Then, set it equal to zero.

14 = 2 + 29t - 16t^2

0 = -16t^2 + 29t -12

Now, we can use the quadratic equation to solve.
A = -16
B = 29
C = -12

You will get the solutions of 1.17 and 0.64.
5 0
3 years ago
The points A-1,-9) and K(5,1) are endpoints of a diameter of circle 5. Which equation represents circle S?
Lilit [14]

Answer:

A

Step-by-step explanation:

if (x1,y1) and (x2,y2) are the extremities of diameter,then eq. of circle is

(x-x1)(x-x2)+(y-y1)(y-y2)=0

reqd. eq. is (x+1)(x-5)+(y+9)(y-1)=0

x^{2} +x-5x-5+y^2+9y-y-9=0\\x^{2} -4x+y^2+8y-14=0\\compare with x^2+y^2+2gx+2fy+c=0\\center (-g,-f) \\radius r=\sqrt{g^2+f^2-c}

center is (2,-4)

r=√(2²+(-4)²-(-14))

=√(4+16+14)

=√(34)

eq. of circle is (x-2)²+(y+4)²=34

or

(x²-4x)+(y²+8y)=14

(x²-4x+4)+(y²+8y+16)=14+4+16

(x-2)²+(y+4)²=34

4 0
3 years ago
Which of the following best describes the solutions to the inequality shown below?
ollegr [7]
D. I think because you would get a negative
7 0
3 years ago
Other questions:
  • 16.3 ÷ (−7.89)? It says im in highschool but im in middle school 7th grade!
    9·2 answers
  • If Root (3/5)x+1 = 125/27 find the value of x.
    11·1 answer
  • Connor earns $1,735 each month and pays $53.10 on electricity. To the nearest tenth of a percent, what percent of Connor's earni
    7·1 answer
  • What is the intersection of two distinct planes
    12·1 answer
  • What is 18x18 in exponential form
    7·1 answer
  • What is the value of the expression 4x−y/2y x when x = 3 and y = 3? −3 1 9 18
    7·1 answer
  • 0.59 O 2/3<br><br> A. =<br> B. &gt;<br> C. &lt;<br> D. none of the above
    9·1 answer
  • LAST ONE! PLEASE HELP ITS THE FINAL QUESTIONS FOR ME TO FINISH THIS DEATH TRAP
    7·1 answer
  • Find all values of x in the interval [0, 2π] that satisfy the equation. (Enter your answers as a comma-separated list.)
    15·1 answer
  • The first term of an arithmetic sequence is –12 and the ninth
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!