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
scoray [572]
3 years ago
8

The large sphere has a diameter of 12. What is the volume of the shaded figure. Express the answer in terms of 3.14

Mathematics
1 answer:
aleksley [76]3 years ago
5 0
113.04 is the volume
You might be interested in
The width of a container is 5 feet less than its height. Its length is 1 foot longer than its height. The volume of the containe
juin [17]

The height of container is 8 feet

<em><u>Solution:</u></em>

Let "w" be the width of container

Let "l" be the length of container

Let "h" be the height of container

The width of a container is 5 feet less than its height

Therefore,

width = height - 5

w = h - 5 ------ eqn 1

Its length is 1 foot longer than its height

length = 1 + height

l = 1 + h ---------- eqn 2

<em><u>The volume of container is given as:</u></em>

v = length \times width \times height

Given that volume of the container is 216 cubic feet

216 = l \times w \times h

Substitute eqn 1 and eqn 2 in above formula

216 = (1 + h) \times (h-5) \times h\\\\216 = (h+h^2)(h-5)\\\\216 = h^2-5h+h^3-5h^2\\\\216 = h^3-4h^2-5h\\\\h^3-4h^2-5h-216 = 0

Solve by factoring

(h-8)(h^2+4h+27) = 0

Use the zero factor principle

If ab = 0 then a = 0 or b = 0 ( or both a = 0 and b = 0)

Therefore,

h - 8 = 0\\\\h = 8

Also,

h^2+4h+27 = 0

Solve by quadratic equation formula

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0\\\\x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

\mathrm{For\:} a=1,\:b=4,\:c=27:\quad h=\frac{-4\pm \sqrt{4^2-4\cdot \:1\cdot \:27}}{2\cdot \:1}

h = \frac{-4+\sqrt{4^2-4\cdot \:1\cdot \:27}}{2}=\frac{-4+\sqrt{92}i}{2}

Therefore, on solving we get,

h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i

<em><u>Thus solutions of "h" are:</u></em>

h = 8

h=-2+\sqrt{23}i,\:h=-2-\sqrt{23}i

"h" cannot be a imaginary value

Thus the solution is h = 8

Thus the height of container is 8 feet

8 0
3 years ago
Which scenario best matches the inequality x &gt; 3? A. Joanna needs to be in bed by 10 p.M. It's now just past 7 p.M. How many
goldfiish [28.3K]

Answer:

C

Step-by-step explanation:

If Ricardo started studying at 4 p.m and for sure will not stop until after 7 p.m, that means that he will be studying for 3 hours at least, and maybe even longer. So the time he will spend studying is at least 3 hours.

Therefore, x>3, where x is the time Ricardo will spend studying.

3 0
3 years ago
PLS HELP!! RIGHT ANSWER GETS BRAINLIEST!! pls only answer if u know the answer 100% this is a test!
katrin2010 [14]

Answer:

It’s -2 and 0 AND also 2 and 4

Step-by-step explanation:

Good luck!

5 0
3 years ago
A quadrilateral has diagonals that are congruent and bisect opposite pairs of
gtnhenbr [62]
If the diagonals of a quadrilateral are perpendicular, then it is a rhombus. False, diagonals don't have to be congruent or bisect each other. The diagonals of a rectangle bisect its angles. A kite with all consecutive angles congruent must be a square.
8 0
3 years ago
Mary rounds these numbers to the nearest hundred. Which number does she round to 400? Choose all that apply. A) 351. B) 369 C).
natulia [17]

Answer:

401

Step-by-step explanation:

7 0
2 years ago
Other questions:
  • Help with number 27 please.
    7·1 answer
  • What is the reciprocal of -5.2/2.5 ? <br><br> need an answer fast please
    10·1 answer
  • How do I find the n in A=P(1+(r/n)^(nt)?
    10·1 answer
  • Item 4 Find the median, first quartile, third quartile, and interquartile range of the data. 40,33,37,54,41,34,27,39,35 Item 4 F
    11·1 answer
  • Seven out of 13 students that apply to Biglarge University will get accepted. If
    5·1 answer
  • I need help with classifying angles
    10·2 answers
  • Use distributive property to rewrite the expression 3x(x+4)​
    13·1 answer
  • #11 Please answer the question
    5·1 answer
  • Using transformation (x-2 y+3) find the new coordinates of (7 -5) brainly
    14·1 answer
  • Why cant it sign me in at this time im to young or sum like im 11, sorry i just need help and quick i really think this is a rar
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!