WILL GIVE MEDAL AND FAN!!!!!!!!!!!!!!!!
Ellies bird feeder is shaped like a cone with a height of 25 in. and a radius of 3 in. Packages of bird seed are cylindrical and come in different sizes.
What is the height of the package that has a radius of 5 in. and contains exactly enough bird seed to fill the feeder? Use 3.14 to approximate pi.
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OpenStudy (cheesecakekitten):
@iGreen
OpenStudy (cheesecakekitten):
Are you people going to help me or stare
OpenStudy (igreen):
Stare
OpenStudy (igreen):
xD
OpenStudy (cheesecakekitten):
.-.
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OpenStudy (igreen):
Hold on a bit..
OpenStudy (cheesecakekitten):
kk
OpenStudy (igreen):
Okay, let's find the volume of the cone first..
\(V = \dfrac{1}{3} \pi r^2 h\)
Plug in what we know:
\(V = \dfrac{1}{3} (3.14) (3)^2 (25)\)
Simplify that
OpenStudy (cheesecakekitten):
on it
OpenStudy (cheesecakekitten):
235.5
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OpenStudy (igreen):
Yep.
OpenStudy (cheesecakekitten):
so that's the answer?
OpenStudy (igreen):
No..hold on
OpenStudy (cheesecakekitten):
it should be the heigh just saying
OpenStudy (igreen):
Let's see, the volume of a cone is 1/3 the volume of a cylinder.
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OpenStudy (cheesecakekitten):
*height
OpenStudy (igreen):
Volume of a cylinder formula:
\(V = \pi r^2 h\)
Plug in 235.5 for the volume and 5 for the radius, and solve for 'h':
\(235.5 = (3.14)(5)^2 h\)
Multiply 25 * 3.14
OpenStudy (cheesecakekitten):
78.5
OpenStudy (igreen):
Yes, so we have:
\(235.5 = 78.5h\)
Divide 78.5 to both siddes
OpenStudy (igreen):
*sides
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OpenStudy (cheesecakekitten):
like, 235.5 / 78.5 and 78.5/78.5?
OpenStudy (igreen):
Yep
OpenStudy (cheesecakekitten):
kk
OpenStudy (cheesecakekitten):
235.5 / 78.5 = 3 and 78.5/78.5 = 1
OpenStudy (igreen):
Yes, so we have:
\(h = 3\)
So the height is 3, that's your answer.
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