Answer:
The last option: 27 times the original volume.
Step-by-step explanation:
The dimensions are tripled so and we are talking volumes so:
The factor of enlargement is 3^3 = 27.
Given:
The radius, r=4x
The height,

To find the volume of the cone:
The volume of the cone formula is,

Substitute the values of r and h in the above formula we get,

Hence, the volume of the cone is

Thus, the correct option is option D.
The prime factorization of 18 is
2 × 3²
____
You could read this from the factor tree by looking at the leaves.
It displays a relationship between variable X and Y.
It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion<span> indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. </span>
For this case we have the following data:
The original dimensions of the drawing are:
If the copier zoom is at 120%, we can find the new dimensions of the drawing by making a rule of three:
Width:
3 ----------> 100%
x ----------> 120%
Where x represents the new width of the drawing:

Long:
5 ----------> 100%
y ----------> 120%
Where y represents the new long of the drawing:

Thus, the new dimensions are 3.6 cm wide and 6 cm long
Answer:
the longer dimension of the new drawing is 6cm