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Sati [7]
3 years ago
10

HELP!!!!!!! images below

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0

Step-by-step explanation:

me manda as respostas em português

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Find the volume of the largest circular cone that can<br> beinscribed in a shpere of radius 3.
Aleksandr [31]

Answer:

V =\dfrac{32}{3}\pi

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

V = \dfrac{1}{3}\pi r^2h

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

V = \dfrac{1}{3}\pi x^2(3+y)

Applying Pythagoras theorem

x² + y² = 3²

x = \sqrt{9-y^2}

V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)

V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)

V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)

differentiating both side

\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)

for maxima  \dfrac{dV}{dy} = 0

\pi ( 3-2 y - y^2)=0

 y² + 2 y - 3 = 0

(y+3)(y-1)=0

 y = 1,-3

y cannot be negative so, volume at y = 1

V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)

V =\dfrac{32}{3}\pi

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume  V =\dfrac{32}{3}\pi

5 0
3 years ago
Can someone check me answers to see if I’m right
dybincka [34]

Answer:

Question one: 3rd option

(Pt. 2 written):

b=ac^2

b=1/8 (4)^2

b= 2

Question two: It is option 2

(Pt. 2 written):

v= m-k

v= -2+7

v= 5

Question three: option 2

(Pt. 2 written):

q=ps/r

q=14(-4)/-7

q=-56/-7

q=8

Question four: It is choice number 3

(Pt. 2 written):

m=3n/4

m=3(8)/4

m=24/4

m=6

Question five: It is choice number 2

(Pt. 2 written):

x=wy+z

x=-8(-5)+6

x=40+6

x=46

8 0
4 years ago
What is the greatest whole number that rounds to 54,300? A. 53,399. B. 54,349. C. 53,999. D. 54,299
Kobotan [32]
The answer to that would be D. 54,299
6 0
4 years ago
Read 2 more answers
What is the slope of the line represented by the equation y=4/5x-3
vekshin1

Answer:

4/5

Step-by-step explanation:

slope is 4/5

y = mx + b

m = slope

6 0
3 years ago
Rami is sketching drawings for his friends.He creates 5 sketches each hour.Write a ratio,in lowest terms ,that compares the numb
Gwar [14]

Answer:

1:12 One sketch every 12 minutes. Four Easy Steps Below!

Step-by-step explanation:

The ratio will be sketches:minutes

*We try to find how many minutes it takes him to make 1 sketch, since it's asking for lowest terms!

  1. find the larger ratio= 5:60 *60 minutes in an hour, we're finding minutes! Convert one hour to minutes*
  2. 5:60....  Divide 60 by 5. *You're finding the time it takes for one sketch*
  3. 12
  4. 1:12   1 sketch every 12 minutes. This is the lowest term.

4 0
3 years ago
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