Answer:
678.24mm³
Step-by-step explanation:
The volume of the cone is computed using the formula:
Where:
r = radius of the circular base
h = height of the cone
π = 3.14
We are given the following:
r = 6mm
h=18mm
π = 3.14
So now that we have that, we just fill in the formula:
The question is which figure shows ∠ POQ.
The answer is the option A.
Justification:
The notation ∠ POQ means angle POQ. And that means:
1) the vertex of the angle is the point O (this is the letter at the center of the name).
2) The sense of the measure is from P to Q counter clockwise.
That is what the figure A shows.
The figue B shows ∠ OQP, the figure C shows ∠QPR, and the figure D shows ∠QRP
So, first, what are the two sides?
let's call then x and y
we know that 2(x+y)=12.5 (that's the distance around)
so that means that x+y=6.25 (I just divided both by 2)
now, x=4y (from "4 times as long as it is wide")
so we can substitute:
x+4x=6.25
5x=6.25
x=1.25
so one side, is 1.25 and the other will be 1.25*4=5
and for the area we multiply the two:
1.25*5=6.25 square kilometers, and this is the answer!
