The volume of the cone shown below is 108pie cm^3. What is the value of H?
2 answers:
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm
You might be interested in
Answer:
Step-by-step explanation:
To find out if a point (x, y) is on the graph of a line, we plug in the values and see if we get a true statement, such as 10 = 10.
Answer:
5 blue and 5 white tiles per row
Step-by-step explanation:
80/8 =(10-this is the amount per row)then divide 10 by 2 to factor in your different different tiles)
Work Check:
80/8rows=10/2colors=5 this means 5 blue and 5 white per row
Answer:
103
Step-by-step explanation:
93 + 5 + 5 = 103
Answer:
88
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
