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
A number is divisible by 2 if it can be divided by 2 without a remainder. Even numbers are divisible by 2 what is the greatest t
9966 [12]

Answer:

98

Step-by-step explanation:

I think it is 98 because it is even, and it is the second largest 2 digit number.

The largest 2 digit number, 99, isn't divisible by 2 because it is an odd number.

5 0
3 years ago
Solve the equation for the specified variable.<br> T= BA-9, for B<br> What does b=
NARA [144]

9514 1404 393

Answer:

  B=\dfrac{T+9}{A}

Step-by-step explanation:

Add 9 to both sides of the equation, and divide by the coefficient of B.

  T = BA -9

  T +9 = BA

  (T +9)/A = B

We can rewrite that with B on the left:

  B = (T +9)/A

4 0
3 years ago
Enter the correct answer in the box. Add the two functions. f(x) = 3x3 + 7x − 26 g(x) = x + 2 Write your answer in the standard
kotykmax [81]

f(x) + g(x) = 3x³ + 8x - 24

that is 3x³ + 7x - 26 + x + 2 = 3x³ + 8x - 24


4 0
3 years ago
Read 2 more answers
Whats 1/3 of 1/2? thanks!​
GuDViN [60]

Answer:

It's 1/6, hope this helps!

7 0
2 years ago
Read 2 more answers
Last year, the price of the hamburger Wonderful Whopper was $2.40. This year the price increased to $2.70. If p is the percent i
a_sh-v [17]

im not great at this im learning it to but im going to say b from what ive learned if you can find a better answer find it

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of line t?
    13·1 answer
  • Write the equation of a line that is parallel to y=9 and that passes through the point (3,-8). Please help this is due soon
    10·2 answers
  • Determine the hypothesis of the conditional statement: If my mom has to work, then I babysit my little sister. A. my mom has to
    10·2 answers
  • Here are the prices of some items and the amount of sales tax changed on each item in Texas. What is the sales tax rate in Texas
    14·1 answer
  • Someone please help me ​
    6·2 answers
  • The perimeter of a rectangle is 15x+17y. if the length is 7/2x+7y, then find the width of the rectangle
    14·1 answer
  • The point (8, –8) is located in which quadrant?
    13·2 answers
  • 2x+5y=-11. <br> -8x-5y=-11
    8·2 answers
  • The graph of a sinusoidal function intersects its midline at (-4pi,2.5) and then has a maximum point at (-5pi\2,6)
    7·1 answer
  • A cell phone is on sale for 30% off. If the sale price is $239.89, what is the original price? *
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!