Answer :
Answer:
r=1, h=9
r=2, h=2.25
r=5, h=0.36
r=12, h=0.0625
r=r, h=9/r²
Step-by-step explanation:
Volume of a cone = πr²h/3
3π=πr²h/3
r²h=9
when r=1?
r²h=9
1²h=9
h=9
when r=2?
r²h=9
2²h=9
4h=9
h=2.25
when r=5?
r²h=9
5²h=9
25h=9
h=0.36
when r=12?
r²h=9
12²h=9
144h=9
h=0.0625
when r=r?
r²h=9
h=9/r²
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
Volume
Volume is the amount of space that is occupied by a three dimensional object.
The volume of a cone (V) is given by:
V = (1/3)πr²h
Where r is the radius and h is the height.
For a radius of 1:
3π = (1/3)π*(1)² * h
h = 9
For a radius of 2:
3π = (1/3)π*(2)² * h
h = 2.25
For a radius of 5:
3π = (1/3)π*(5)² * h
h = 0.36
For a radius of 12:
3π = (1/3)π*(12)² * h
h = 0.02
The height of a cone is dependent on its radius. The height for a cone radius of 1 is 9.
Find out more on Volume at: https://brainly.com/question/1972490