Answer:
h = 9 units of length
Step-by-step explanation:
Volume of a circular right cone is:
V(c) = (1/3)*Area of the circular base * h
Where h is the height of the cone, then
V(c) = (1/3) * π * r² * h
And we have that V(c) = 108*π
Then:
108 * π = (1/3) * π * r² * h (1)
We know diameter of the circular base is 12 units, according to that
r = d/2 ⇒ r = 12/2 r = 6 units
Then:
108 * π [ cubic units ] = (1/3) * π * (6)² * h [square units] [ units of length]
When simplifying we have to take into account that in order to keep last equation h needs to have units of length
Therefore:
108 = (1/3) * 36 * h
h = ( 108* 3 )/ 36
h = 9 units of length
Answer: 12:1
Step-by-step explanation: Brian rides his bike 12 miles in 2 hours
Answer:
2and9
Step-by-step explanation:
016 by 8=2
072 by 8=9
Answer:
<DEB= 125 degrees
Step-by-step explanation:
To get this, you would need to know all 2 angles of the triangle.
To find the first angle, simply do 180-107 to get 73(because supplementary angles add up to 180 degrees).
Next, 180-52(given angle)-73 to get 55 because the 3 angles of a triangle add up to 180(triangle angle sum theory).
You would see that <DEB is part of another supplementary angle so, do 180-55 to get 125.
<DEB=125 degrees.
