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TSI Mathematics Videos 144 videos

TSI Math: Writing the Slope-Intercept Equation of a Graphed Line
97 Views

What is the equation of the line graphed above?

TSI Math: Plugging in Slope and Point to Find the Equation of a Line
12 Views

A line passes through the point (-4, -4) and has a slope of . What is its equation?

TSI Math: Using Intercepts to Find the Slope of a Line
5 Views

Line A has an x-intercept of -4 and a y-intercept of 8. What is its slope?

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TSI Math: Comparing Volumes for Cylinders and Cubes 18 Views


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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

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

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