The volume of a cylinder is 81 ft3. The volume of a cube is 42 ft3. What is the difference between the volume of a cone that fits exactly inside the cylinder and the volume of a pyramid that fits exactly inside the cube?
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OpenStudy (anonymous):
V=pir^2*h cylinder v=1/3pir^2h cone v=l*w*h V=1/3b^2h 1/3 of the volume can fit a whole shape of a cone
OpenStudy (anonymous):
@jim_thompson5910
OpenStudy (anonymous):
@robtobey
OpenStudy (anonymous):
@Luigi0210
jimthompson5910 (jim_thompson5910):
The volume of a cylinder is 81 ft3
so what is the volume of the cone that can fit inside it?
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OpenStudy (anonymous):
39
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
I really don't understand how to do this please explain it to me
jimthompson5910 (jim_thompson5910):
Volume of Cone = (1/3)*(Volume of Cylinder)
This is only if the cone and cylinder have the same radius and height
OpenStudy (anonymous):
So how do we know if they have the same radius and height
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jimthompson5910 (jim_thompson5910):
because the smaller figure fits inside the larger one
OpenStudy (anonymous):
Ok so how do we write the equation 81 ft3/42 ft3.
volume of Cone = (1/3)*(Volume of Cylinder)
jimthompson5910 (jim_thompson5910):
what is the Volume of Cylinder
OpenStudy (anonymous):
81 ft3 can you write the equation I'll work it out
jimthompson5910 (jim_thompson5910):
the equation is volume of Cone = (1/3)*(Volume of Cylinder)
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jimthompson5910 (jim_thompson5910):
plug in the given number and evaluate to find the volume of cone
OpenStudy (anonymous):
27
jimthompson5910 (jim_thompson5910):
good
jimthompson5910 (jim_thompson5910):
similarly,
volume of pyramid = (1/3)*(volume of cube)
OpenStudy (anonymous):
14
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jimthompson5910 (jim_thompson5910):
now find the difference between the cone and the pyramid
jimthompson5910 (jim_thompson5910):
the volumes of each
OpenStudy (anonymous):
81-21=60
jimthompson5910 (jim_thompson5910):
not the cylinder and cube
jimthompson5910 (jim_thompson5910):
the cone and the pyramid
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OpenStudy (anonymous):
oh
jimthompson5910 (jim_thompson5910):
and idk where you got 21 from
OpenStudy (anonymous):
21-14=7
jimthompson5910 (jim_thompson5910):
no
OpenStudy (anonymous):
I am lost
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jimthompson5910 (jim_thompson5910):
go back up and see what the volume of the cone and pyramid were
OpenStudy (anonymous):
The cone is larger than the pyramid.
jimthompson5910 (jim_thompson5910):
what were the volumes of each
OpenStudy (anonymous):
27
jimthompson5910 (jim_thompson5910):
that's the cone's volume
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OpenStudy (anonymous):
14
OpenStudy (anonymous):
27-14=13
jimthompson5910 (jim_thompson5910):
good
OpenStudy (anonymous):
sorry about the 21 i hit one instead of 8
OpenStudy (anonymous):
thank for all you help i really didn't know how to do it
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