The volume of a cone varies jointly with the area of the base and the height of the cone.

where
V = volume
k = constant of proportionality
A = area of the base
h = height of the cone
The given info is for A = 27, and h = 6, then V = 54 (all using appropriate units for area, length, and volume, respectively.)
Now we can find k, the constant of proportionality.
V = kAh
54 = k * 27 * 6
k = 54/(27 * 6)
k = 1/3
The formula is

Now we use the second set of info, the height and the volume, and we find the area of the base.




Answer: the area of the base is 31 cm^2
Answer:

Step-by-step explanation:
Given
a(-5,4) and b(7,-4)
Required
Partition P
Given that the segment ab is divided into ratio;
The coordinates of point p can be calculated using ratio formula given below

Where m and n are the ratio; m = 1 and n = 4

So,
becomes




Hence, the coordinates of p are (-2.6,2.4)
The answer would be 0.6. hope that helped
Answer:
First operation is Parathenses or Grouping. In this case, you need to use distrubtion to go past this operation
Step-by-step explanation: