Answer: r = 1.69 inches
h = 2.15 inches
Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.
Volume of a cone is directly proportional to radius and height:

They want the cones to hold the same volume of 9 cubic inches.
If height is 3:



r = 1.69 inches
When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.
If radius is 2:


h = 2.15 inches
If radius is 2 inches, height of the cone is 2.15 inches.
Answer:
$720
$360
Step-by-step explanation:
Let the cost of couch be A and that of coffee table be B
Given couch and coffee table cost $1080
That’s
A + B = $1080
Also, the cost of couch A is 2 times the cost of coffeee table B.
That’s
A = 2B
We now have two equations
A + B = 1080
A = 2B
Now ,substitute 2B for A in the first equation .
We have
A + B = 1080
2B + B = 1080
3B = 1080
Divide both sides by 3
3B/3 = 1080/3
B = 360
The coffee table cost $360
Remember A = 2B
Therefore
A = 2 x $360
A = $720
The couch cost $720 while the coffee table cost $360
Answer:
1. 0.0692156863
2. 0.5761904762
3. 0.3969565217
4. 2.030769231
Step-by-step explanation: