I got a bluescreen in my zoom class when they were talking about rotating a function and using something called "la méthode des tubes" (it's french for "the tube method"). They learned how to calculate the region of something by rotating an object and making in infinity of "tubes" or "discs" to calculate the area. I'm not too certain how to solve the following problem. If i manage to get one problem solved I should be good to replicate on the rest of the problems i have and try to solve them. here is one of the problems: The shape of a large bowl is obtained by rotation the curve x=√(16y) around the y axis (the axis units are in centimeters). We place a wooden ball with a radius of 5 cm in this bowl and then pour 3500 cm3 of water in the bowl. Knowing that the wooden ball floats on the water and that its height the immersion depth is 7cm, determine the height of the liquid in the bowl.
I got a bluescreen in my zoom class when they were talking about rotating a function and using something called "la méthode des tubes" (it's french for "the tube method"). They learned how to calculate the region of something by rotating an object and making in infinity of "tubes" or "discs" to calculate the area. I'm not too certain how to solve the following problem. If i manage to get one problem solved I should be good to replicate on the rest of the problems i have and try to solve them.
here is one of the problems:
The shape of a large bowl is obtained by rotation the curve x=√(16y) around the y axis (the axis units are in centimeters). We place a wooden ball with a radius of 5 cm in this bowl and then pour 3500 cm3 of water in the bowl. Knowing that the wooden ball floats on the water and that its height the immersion depth is 7cm, determine the height of the liquid in the bowl.
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