ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
TSI Math Videos 144 videos
What is the equation of the line graphed above?
A line passes through the point (-4, -4) and has a slope of . What is its equation?
Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?
TSI Math: Comparing Volumes for Cylinders and Cubes 18 Views
Share It!
Description:
A cylindrical can of paint fits snugly on all sides inside a box. What is the ratio of the cylinder's volume to the box's volume?
Transcript
- 00:03
Okay sy mash members More modeling here A cylindrical can
- 00:07
of paint fits snugly on all sides inside a box
- 00:11
What's the ratio of the cylinders Volume to the boxes
- 00:15
Volume Say the cylinder has a radius of are in
- 00:19
the height of age the volume of the cylinder Then
Full Transcript
- 00:22
according to formulas pi r squared age right that's just
- 00:24
the formula You have to know it since a cylinder
- 00:26
fits snugly against the box on all sides will the
- 00:29
box has the same width and height There's a cylinder
- 00:31
just a different area formula the boxes based then measures
- 00:34
to our across each way So it looked like that
- 00:37
to our is the diameter of the cylinders Well the
- 00:40
boxes h units tall Well the volume of the box
- 00:43
is to our times to our times a door for
- 00:45
r squared h now take the ratio of the two
- 00:48
volumes That ratio is just another word for a fraction
- 00:51
so make a fraction out of the volumes We've got
- 00:52
the volume of the cylinder over the volume of the
- 00:54
box just fire squared H over four r squared age
- 00:58
well r squared in h cancel out leaving us with
- 01:01
a ratio of pi over four that's it The answer 00:01:04.56 --> [endTime] is a were shmoop
Related Videos
Which is the best way to revise and combine sentences 1 and 2?
Where would the following sentence best be placed?
Which of the following is best to insert at the beginning of sentence 8?
Which is the best location for sentence 9?
Which of the following sentences is best to insert between sentences 11 and 12?