sammi's brother again
The area of this cylinder's base is one hundred fifty square inches. The height of the cylinder is 6 inches. What is the volume of the cone that has the same base area and height?
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sammixboo (sammixboo):
OpenStudy (anonymous):
area * height
sammixboo (sammixboo):
that is it?
OpenStudy (anonymous):
yea
OpenStudy (anonymous):
oops no
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sammixboo (sammixboo):
oh ok
OpenStudy (anonymous):
it's (1/3) area * height.
I thought it was a cylinder
sammixboo (sammixboo):
wuld it be 300
sammixboo (sammixboo):
@sourwing
OpenStudy (anonymous):
idk if you did the math right
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Elsa213 (elsa213):
The formula for the volume of a cylinder is:
V1 = π(r^2)h
and πr^2 is the same thing as the base area. Since we're given that that is 150, we can find the radius:
πr^2 = 150
r^2 = 150/π
r = √(150/π)
And we're given that the height is 6, so we don't need to solve anything.
The volume of a cone is:
V = (π/3)(r^2)h
Plugging in r = √(150/π) and h = 6 results in:
V = (π/3)(√(150/π)^2)(6)
V = (π/3)(150/π)(6)
V = 300
So the answer is 300 cubic inches.
OpenStudy (ikram002p):
@sammixboo ur correct
sammixboo (sammixboo):
ok thnx
OpenStudy (jdoe0001):
|dw:1404772299827:dw|
OpenStudy (ikram002p):
volume of cone = 1/3 ( volume of cilindrical)
( volume of cilindrical) = base area * hight = 150*6=900
thats it @Elsa213 no need for more calculation
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OpenStudy (jdoe0001):
ohhh ohh a cone... ok so |dw:1404772405844:dw|
sammixboo (sammixboo):
V = 1/3*b*h
V = 1/3*150*6
V = 1/3*900
V = 300
that is what i put
sammixboo (sammixboo):
?
sammixboo (sammixboo):
ok then
OpenStudy (jdoe0001):
yeap
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OpenStudy (jdoe0001):
tried posting before.but the site is just lagging, as it usually does