Answer:
The closest measurement to the volume of hat is 84.82 in.³.
Step-by-step explanation:
Given:
The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.
Now, to find the volume of cone:
Putting the formula
.
Radius(r) is not given, finding the radius:
Radius(r)=half of the diameter(d)


.
Then, 
=
=
(
)
=
=
=
in.³
So, the volume is 84.78 in.³ .
Therefore, the closest measurement to the volume of hat is 84.82 in.³.
Answer:
Option 2. h = E/mg.
Step-by-step explanation:
E= mgh
mgh = E
Divide both sides by mg:
mgh / mg = E / mg
h = E/mg.
Answer:
The center of the circle is midpoint of the diameter:
The radius is equal the distance between C and Q:
An equation of a circle:
(x - a)² + (y - b)² = r²
(a; b) - a coordinates of a center
r - a radius
r = √65; (-3; 2) ⇒ a = -3 and b = 2
subtitute
(x - (-3))² + (y - 2)² = (√65)²
Answer:
the center: (-3; 2)
the radius: √65
the equation of the circle: (x + 3)² + (y - 2)² = 65