2 answers:
Answer:
r = 1 h = 9
r = 2 h = 2.25
r = 5 h = .36
r = 1/2 h = 36
Step-by-step explanation:
volume of a cone = ( π * r^2 * h )/ 3
3π = (π * r^2 * h )/3
9π = π * r^2 * h
9 = r^2 * h
h = 9 / r^2
when r is 1 h is 9
when r is 2 -> 9 ÷ 4 = 2.25 = h
when r is 5 -> 9 ÷ 25 = .36 = h
when r is 1/2 -> 9 ÷ 1/4 = 9 * 4 = 36 = h
Answer:
9/pi or 2.865
2.25/pi or 0.716
9/25pi or 0.115
36/pi or 11.459
Step-by-step explanation:
The formula for the volume of a cone
V= 1/3pir^2h
V= volume
pi= 3.141592...
r= radius
h= height
1) 3= 1/3pi (1)^2h
9=pi(h)
h= 9/pi or 2.865
2) 3= 1/3pi (2)^2h
9=4pih
h= 9/4pi or 0.716
3) 3= 1/3pi (5)^2h
9= 25pih
h= 9/25pi or 0.115
4) 3=1/3pi (1/2)^2h
9= 1/4pih
h= 36/pi or 11/459
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