Answer:

Step-by-step explanation:
given,
radius of sphere = 3
volume of cone:

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

Applying Pythagoras theorem
x² + y² = 3²



differentiating both side

for maxima 

y² + 2 y - 3 = 0
(y+3)(y-1)=0
y = 1,-3
y cannot be negative so, volume at y = 1


Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume 
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
The answer to that would be D. 54,299
Answer:
4/5
Step-by-step explanation:
slope is 4/5
y = mx + b
m = slope
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!
- find the larger ratio= 5:60 *60 minutes in an hour, we're finding minutes! Convert one hour to minutes*
- 5:60.... Divide 60 by 5. *You're finding the time it takes for one sketch*
- 12
- 1:12 1 sketch every 12 minutes. This is the lowest term.