Heres the question-
The volume of a cylinder is 600(pi, sorry, cant use the pie symbol on this computer) cm^3, its height is 18 cm. What is the approximate radius of the cylinder?
And heres another one thats very similar-
The volume and height of a cone is the same as the cylinder, what is its radius?
Thanks.
2007-01-31 08:07:57 · 9 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Cylinder: V = pi . r^2 . h
then: 600pi = pi . r^2 . 18
r is almost equals to 5.77
If I don't make a mistake, the volume of a cone is 1/3 volume of the cylinder, so
600pi = 1/3 . pi . r^2 . h then
r is almost equals to 17.31
2007-01-31 08:17:25 · answer #1 · answered by Sam 1 · 0⤊ 0⤋
Divide the volume by the height to get the area of the circular base. Divide that area by pi and take the square root to get the radius (A = pi r^2)
For the second, I think (read: "check me on this) the volume of a cylinder is 3 times the volume of an inscribed cone with the same base, so the size of the base of a cone with the same volume would have to be 3 times that of the cylinder. If the area's 3 times as much, the cone's radius will be square-root-of-3 times as much.
2007-01-31 08:13:33 · answer #2 · answered by chiyaniwatori 2 · 0⤊ 0⤋
I think the radius of the cylinder is the square root of 33 and 1/3.
2007-01-31 08:29:18 · answer #3 · answered by smartchick876 2 · 0⤊ 0⤋
CYLINDER Volume = pi * radius squared * height
r 2 = 600 / 18
r 2 = 33.33
r = 5.77 cm
2007-01-31 08:12:48 · answer #4 · answered by Christmas Light Guy 7 · 0⤊ 0⤋
Cylinder volume V = pi*r^2*h
V = 600pi cm^3
h = 18 cm
r^2 = V/(pi*h) = 600pi/(pi*18) = 600/18 = 300/9 = 100/3
r = sqr[100/3] = 10/sqr[3]*{sqr[3]/sqr[3]} = 10sqr[3]/3 cm
2007-01-31 08:13:59 · answer #5 · answered by kellenraid 6 · 0⤊ 0⤋
V=pir^2h
600pi=pi*r^2*18
r^2=33+1/3
r=sqrt(33.333....)
2007-01-31 08:12:34 · answer #6 · answered by Anonymous · 0⤊ 0⤋
V = Pi*r^2* h r^2 = V/(h*Pi) r = Sqrt[V/(h*Pi)], Pi = 22/7 Your units are vital, you didn't give any. I'd assume that h = 865cm and vol = 1000cm^3 r = Sqrt[1000/(865*22/7) = 0.606 cm I might be wrong because I have assumed the units. But the basics is correct.
2016-03-28 22:41:14 · answer #7 · answered by Anonymous · 0⤊ 0⤋
V (cylinder) = (area of base)(height)
(area of base) = V/(height)
(area of base) = (600π/18)cm²
A = (100/3)π cm²
A = πr²
(100/3)π = πr²
r²=(100/3)
r=10/√3
r=10√3 / 3 cm
2007-01-31 08:13:27 · answer #8 · answered by bequalming 5 · 0⤊ 0⤋
v = hπr²
v/(hπ) = r²
√(v/(hπ)) = r
√(600π/18π) = r
√100/3 = r
r = 10/√3 or (10√3)/3 or about 5.8cm
2007-01-31 08:15:26 · answer #9 · answered by Tom :: Athier than Thou 6 · 0⤊ 0⤋