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
chubhunter [2.5K]
3 years ago
6

Find the volume of this sphere. Use 3 for TT. V V ~ [?]cm3 V = nr3 r=6cm

Mathematics
1 answer:
Katen [24]3 years ago
6 0

Answer:

V = 864cm^3

Step-by-step explanation:

Given

r = 6

\pi = 3

Required

The volume of the sphere

This is calculated as:

V = \frac{4}{3} \pi r^3

So, we have:

V = \frac{4}{3} *3 *6^3

V = \frac{4}{3} *3 *216

This gives:

V = 4 *216

V = 864

You might be interested in
A graphing calculator is recommended. A function is given. g(x) = x4 − 5x3 − 14x2 (a) Find all the local maximum and minimum val
Taya2010 [7]

Answer:

The local maximum and minimum values are:

Local maximum

g(0) = 0

Local minima

g(5.118) = -350.90

g(-1.368) = -9.90

Step-by-step explanation:

Let be g(x) = x^{4}-5\cdot x^{3}-14\cdot x^{2}. The determination of maxima and minima is done by using the First and Second Derivatives of the Function (First and Second Derivative Tests). First, the function can be rewritten algebraically as follows:

g(x) = x^{2}\cdot (x^{2}-5\cdot x -14)

Then, first and second derivatives of the function are, respectively:

First derivative

g'(x) = 2\cdot x \cdot (x^{2}-5\cdot x -14) + x^{2}\cdot (2\cdot x -5)

g'(x) = 2\cdot x^{3}-10\cdot x^{2}-28\cdot x +2\cdot x^{3}-5\cdot x^{2}

g'(x) = 4\cdot x^{3}-15\cdot x^{2}-28\cdot x

g'(x) = x\cdot (4\cdot x^{2}-15\cdot x -28)

Second derivative

g''(x) = 12\cdot x^{2}-30\cdot x -28

Now, let equalize the first derivative to solve and solve the resulting equation:

x\cdot (4\cdot x^{2}-15\cdot x -28) = 0

The second-order polynomial is now transform into a product of binomials with the help of factorization methods or by General Quadratic Formula. That is:

x\cdot (x-5.118)\cdot (x+1.368) = 0

The critical points are 0, 5.118 and -1.368.

Each critical point is evaluated at the second derivative expression:

x = 0

g''(0) = 12\cdot (0)^{2}-30\cdot (0) -28

g''(0) = -28

This value leads to a local maximum.

x = 5.118

g''(5.118) = 12\cdot (5.118)^{2}-30\cdot (5.118) -28

g''(5.118) = 132.787

This value leads to a local minimum.

x = -1.368

g''(-1.368) = 12\cdot (-1.368)^{2}-30\cdot (-1.368) -28

g''(-1.368) = 35.497

This value leads to a local minimum.

Therefore, the local maximum and minimum values are:

Local maximum

g(0) = (0)^{4}-5\cdot (0)^{3}-14\cdot (0)^{2}

g(0) = 0

Local minima

g(5.118) = (5.118)^{4}-5\cdot (5.118)^{3}-14\cdot (5.118)^{2}

g(5.118) = -350.90

g(-1.368) = (-1.368)^{4}-5\cdot (-1.368)^{3}-14\cdot (-1.368)^{2}

g(-1.368) = -9.90

7 0
3 years ago
Consider the right triangle. A right triangles with side lengths 28 meters and 45 meters. The hypotenuse is unknown. What is the
omeli [17]

Answer:

The answer is 53 or Square Root (sqrt) of 2809

Step-by-step explanation:

a^2+b^2=c^2

28^2+45^2=c^2

784+2025=c^2

c^2=sqrt 2809

c = 53

8 0
3 years ago
Read 2 more answers
Which expression is equivalent to mc014-1?
ryzh [129]
1/5(100x - 105y + 70) = 20x -21y + 14
8 0
3 years ago
Find the volume of this
11111nata11111 [884]

Answer:

37.8 yd^3

Step-by-step explanation:

base area = (4.5 x 2.8)/2 = 6.3 yd^2

Volume = 6.3 x 6 = 37.8 yd^3

4 0
2 years ago
Yolanda’s club require that 60% of the members be present for any vote. If at least 30 members must be present to have a vote ho
balandron [24]
We can rewrite this problem as:
What is 60% of 35?
"Percent" or "%" means "out of 100" or "per 100", Therefore 60% can be written as
60
100
.
When dealing with percents the word "of" means "times" or "to multiply".
Finally, lets call the number of members we are looking for "m".
Putting this altogether we can write this equation and solve for
m
while keeping the equation balanced:
m
=
60
100
×
35
m
=
2100
100
m
=
21
21
members must be present to have a vote.
8 0
3 years ago
Read 2 more answers
Other questions:
  • When you are finding the slope of a line using two points, it doesn't matter which point you choose to be (x1,y1) and which poin
    6·1 answer
  • Which equation models this problem?
    8·2 answers
  • 23 less than a number p
    12·1 answer
  • Plz help ASAP TwT<br><br><br><br><br> What is the slope of the graph?
    14·2 answers
  • The perimeter of a rectangle is 72 in. The base is 3 times the height. Find the area of the rectangle
    9·1 answer
  • -7 2/3 + (-5 1/2) + 8 3/4
    9·1 answer
  • Can anyone solve this for me?d/dx x/root (1+x^2)<br>ps. the 1+x^2 part is inside the root​
    8·1 answer
  • Divide the fractions: 20 divided by 15/16 =
    6·2 answers
  • The set of ordered pairs below represents the number of tickets sold for a fundraiser. The​ x-coordinates represent the day and
    8·2 answers
  • What is 4x^2 -40-120 is equivalent to
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!