The photo is upside down....
(1/3) × the cone's volume = The cylinder's volume.
Step-by-step explanation:
Step 1:
The volume of any cone is obtained by multiplying
with π, the square of the radius (
) and the height (
).
So the volume of the cone,
.
Step 2:
The cylinder's volume is nearly the same as the cone but instead by multiplying
we multiply with 1.
So the cylinder's volume is determined by multiplying π with the square of the radius of the cylinder (
) and the height of the cylinder (
).
So the the cone's volume,
.
Step 3:
Now we equate both the volumes to each other.
The cone's volume : The cylinder's volume =
=
.
So if we multiply the cone's volume with
we will get the cylinder's volume with the same dimensions.
When we are to divide the line segment such that the ratio is 1:2, there are actually 3 parts of the segment. First, we determine the distance between the coordinates and divide the distance by 3. Then, we add the quotient to the x-coordinate.
x-coordinate: (2 - 9) / 3 = -7/3
y-coordinate: (6 - 3 ) / 3 = 1
Adding them to the coordinates of a,
x - coordinate: (9 - 7/3) = 20/3
y - coordinate: (3 + 1) = 4
Thus, the coordinates are (20/3, 4).
Answer:
Step-by-step explanation:
Line joining (-3, -1) and (1/2, 2)
Point point form for a line is
(c-a)(y-b) = (d-b)(x-a)
(1/2 - - 3)(y - -1) = (2 - -1)(x - -3)
(7/2)(y+1)=3(x+3)
7(y+1)=6(x+3)
7 - 6(3) = 6x - 7y
6x - 7y = -11
Answer: second choice, 6x - 7y = -11