Answer:
h = 9x
Step-by-step explanation:
Given: i. for the cylinder, base radius = 2x cm, height = h cm
ii. for the sphere, radius = 3x cm
iii. volume of the cylinder = volume of the sphere
volume of a cylinder is given as;
volume = 

h
where: r is its base radius and h the height
volume of the given cylinder = 
x
x h
= 
x 4
x h
= 

h
volume of a sphere = 


where r is the radius.
volume of the given sphere = 
x 
= 
x 9 
= 12

Since,
volume of the cylinder = volume of the sphere
Then we have;


h = 12

4
h = 36

subtract
from both sides
4
h = 36
x
divide both sides by 4
h = 
= 9x
h = 9x
Answer:
A
Step-by-step explanation:
ABC triangle is 1/2 the size of DEF triangle. In order to transform ABC to DEF, the scale has to be doubled and the point on the y-axis has to move down to 10
1. 1456 (1/2 • 13 • 16 • 14)
2. 252 (18 • 14)
3. 1456 (same answer as the first)
Add 4 to both sides
x - 4 < -3
x-4+4 < -3+4
x < 1
To graph this on a number line, plot an open circle at 1 on the number line. Do not fill in the open circle. Shade to the left of the open circle. The shaded region represents all x values smaller than 1.
The graph is shown below.
Their least common multiple is 12.