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:
The Correct option is A) 8
The value of a is 8.
Step-by-step explanation:
Vertical Angles:
The angles opposite each other when two lines cross.
They are always equal.
∠ 2(3a-7)° and ∠ (5a-6)° are vertical angles.Hence are equal.
So on Substituting we get
Applying distributive property we get
The value of a is 8
The Correct option is A) 8
Answer:
53.5
Explanation:
Since triangle AOB is an isosceles triangle (AO = OB), the base angles of the triangle are 53.5. (180-73 = 107, 107/2 = 53.5)
it would = out to be 9 18/73
